5

Point) Ifdet= -3,and det b 2= 133then8det b 824and8det b 24...

Question

Point) Ifdet= -3,and det b 2= 133then8det b 824and8det b 24

point) If det = -3, and det b 2 = 13 3 then 8 det b 8 24 and 8 det b 2 4



Answers

If $$ A=\left[\begin{array}{rr} 2 & 3 \\ 1 & -2 \end{array}\right] \quad \text { and } \quad B=\left[\begin{array}{rr} -1 & 3 \\ 2 & 1 \end{array}\right] $$ show that $\operatorname{det}(A B)=(\operatorname{det} A)(\operatorname{det} B)$

Okay, so it gives us these matrices A and B right gives us those numbers and then wants us to show that the determinant of a B. So when you multiply the two together that that's equal to when you do them separately and multiply their determine its K. So it's friend. The determinants for a B two. Timing of two makes a negative for minus three times one makes three right. Negative for minus three. Makes a negative seven. Right now the determinant of a is negative. Seven. Let's do it for me. Negative one times one is native one minus three times to which makes 681 Minus six is seven. So basically A M B are both negative seven for their determinants Now. I went ahead and already calculated a B just to save us some time. Um, but if you didn't already know how to get this right, you just do your matrix multiplication. You do not just multiply the elements right. It's separate. But now that I have it, let's do the determinant. Four times one is four minus nine times native. Five. Makes a negative 45 to neighbors. Make a positive. That's four plus 45 which is 49. And if you look at that, doesn't negative seven times native seven equal. Positive. 49. The answer is yes. So as long as you do your matrix multiplication, right, you should be just fine, right? And showing this.

Hello there. So for this exercise we have these two matrices, A and B. And we need to check the following relations. So the first one corresponds to check that the determinant of A B is considered determinant of B. A. And for the second one we need to check that the determinant of A plus B is equal to the sum of determinants. So let's first calculate the multiplication of these interests. So let's start with A. B. These matrix Is the cost to six 15, 26 two minus four -3 -2, 10 and 12. And determinant of this matrix is equal To -66. Then we need to calculate the multiplication of B. A. And that give us the following Matrix, 5, -3 minus 6 14 seven 5: -5. And the determinant of this matrix Result to be equals 2 -66. So you can observe that both determinants are the same, which implied that the first relations holds. Now let's see what happened with the summation coffee here. The determinants. So we need to check if the determinant of A plus B is equal to the sum of the determinants. So when you did determinants of each of these matrices independently, so determinant of A is equal 22 And determinant of B is equal to -33. So great. We have this to the determinants and then we need the estimation of these two matrices, so maybe Corresponds to the Matrix, 1, -2, 12, 12 And -251. If we can create the determinant of this matrix, we obtain that is equal To -75. And if we compare with the some of the determinants, We have that this is equal to -33, which is equal to -31. You can observe that these two values don't coincide. Therefore these relations is false.

Okay. This problem is asking for finding a determinant to a I wrote a here. The most important thing is for us to find the detrimental to a We need to understand. What do we do with this constant too? Okay, The Matrix is a three by three matrix. So I wrote the formal here. This is really the most important thing we need to Before you find any combination of any algebra with determinant given to us, you need to understand this right here. Okay. This basically is telling you that if I have determined of A and I have a constant in this case, are constant is too I can bring the constant out of the determinant. But I need to know the Matrix. So I have to go to the power off that, uh, did mention so in our case is going to be to which is R C. Comes out of the determinant formula, which is in here to the end, which is three. So it's two to the third. Determine it times determine it off. A. Okay, this is very easy to through. The third is eight. The question is already telling us determine of a is three. So eight times three is 24. So the answer is 24 on And do not worry about question giving us to terminal B because we don't need anything has to do anything would be in this in this case. So that's the answer. But you need to understand the formula that is in this square. Red. Thank you. Bye.

Section three to Problem number 30. They give us a matrix A. And they tell us that the determinant for Matrix A is equal one and were asked to find the determinant of matrix B. So the key is what is the transformation to get from A to B? What does that transformation do to the determinate? So if you start out with a B C D. So let's describe the transformation. Well, it looks like the A's and the B's are on the bottom, so it looks like Row one was interchange with Road to And then what happens? It looks like we multiply Row one by three and it looks like we mortar pyro too by four to get to three c three D for a four b. So this is the transformation that takes me from a to B. So what is the effect of switching rose? Well, that puts a negative one on the determinant. Multiplying a row by three means the determinant is multiplied by three. Multiplying a road by four means the determinant is multiplied by four. So the determinant of B is going to be negative. One times three times four times the determinant of a So this is just negative. 12 is the determinant of beef


Similar Solved Questions

5 answers
1 ; 1 LZu-0a 1 11 1 1 U1
1 ; 1 LZu-0a 1 1 1 1 1 U 1...
5 answers
Cylks_eoolk_sekuly 2 Coveuske 4 {escs &ls ip ka > exst .(4) Gw *x-3_ X>3 X -1X-4 (9 &v X34 Vx+9 -5() & X-2 X-3 X-q6x+): (c) Uw ~x3 6->o h
Cylks_eoolk_sekuly 2 Coveuske 4 {escs &ls ip ka > exst . (4) Gw *x-3_ X>3 X -1 X-4 (9 &v X34 Vx+9 -5 () & X-2 X-3 X-q 6x+): (c) Uw ~x3 6->o h...
5 answers
7 1 1 1 1 tole <
7 1 1 1 1 tole <...
5 answers
The measured dipole moment of BrCH;CH,Br is 1.0 D. Which one of the following statements about 1,2-dibromoethane is false?It may exist entirely in the gauche conformation.It May" exist entirely in the auti conformation:It MaS exist 45 mixture of anti and gauche conformations
The measured dipole moment of BrCH;CH,Br is 1.0 D. Which one of the following statements about 1,2-dibromoethane is false? It may exist entirely in the gauche conformation. It May" exist entirely in the auti conformation: It MaS exist 45 mixture of anti and gauche conformations...
5 answers
J(U)Find the general solution of equation y" + y 6y = e
J(U) Find the general solution of equation y" + y 6y = e...
5 answers
View Policies Current Attempt in ProgressVector 1 has _ magnitude 0l 67 units and polnts duc west while vector B has the same magnitude and points dua south Find the magnitude and dircction ot (a} ^ K and (b) 7 B . Specify the directions relative duc west Magnitude and directionot 7 and(b) Magnitude and direction otandeTextbook and MediaGO TutorialAttempts Ool 4 used FeffliAnaSurt tor Latt
View Policies Current Attempt in Progress Vector 1 has _ magnitude 0l 67 units and polnts duc west while vector B has the same magnitude and points dua south Find the magnitude and dircction ot (a} ^ K and (b) 7 B . Specify the directions relative duc west Magnitude and directionot 7 and (b) Magnitu...
5 answers
Find the derivative of: VzHINT: recall that Vx
Find the derivative of: Vz HINT: recall that Vx...
5 answers
Find the area of the Iegion bound by y = 36r ~ 2)' , Y = 5,and the y-axis: (5 marks)"=36 ~ 2)*"J
Find the area of the Iegion bound by y = 36r ~ 2)' , Y = 5,and the y-axis: (5 marks) "=36 ~ 2)* "J...
1 answers
Which of the following do not equal $\frac{d}{d x}\left(4 x^{3}-6 x^{-2}\right) ?$ a. $\frac{12 x^{2}+12}{x^{3}}$ b. $\frac{12 x^{5}+12}{x^{3}}$ c. $12 x^{2}+\frac{12}{x^{3}}$ d. $12 x^{3}+12 x^{-3}$
Which of the following do not equal $\frac{d}{d x}\left(4 x^{3}-6 x^{-2}\right) ?$ a. $\frac{12 x^{2}+12}{x^{3}}$ b. $\frac{12 x^{5}+12}{x^{3}}$ c. $12 x^{2}+\frac{12}{x^{3}}$ d. $12 x^{3}+12 x^{-3}$...
5 answers
What species is the conjugate base of H2SO3?H3SO3 +HSO3-SO3 ^ 2-HSO4-H2SO2 +
What species is the conjugate base of H2SO3?H3SO3 +HSO3-SO3 ^ 2-HSO4-H2SO2 +...
4 answers
A final in Seaturtle Research Studies has a mean of 71 and astandard deviation of 4. If 4 students are randomly selected, findthe probability that the mean of their test scores less than 70.P(x < 70) = P(z <
A final in Seaturtle Research Studies has a mean of 71 and a standard deviation of 4. If 4 students are randomly selected, find the probability that the mean of their test scores less than 70. P(x < 70) = P(z <...
5 answers
Bag contains blue balls; red balls and white balls. Three balls are drawn without replacement Let the random variable X the number of white balls selected without replacement.(2} What type of distribution does this represent? [1 mark](b) Complete the probability distribution table for the above: [2 marks](c) Determine the Expected Value; E(X) [1 mark](d) What is the probability that at east will be white balls? [2 mark]
bag contains blue balls; red balls and white balls. Three balls are drawn without replacement Let the random variable X the number of white balls selected without replacement. (2} What type of distribution does this represent? [1 mark] (b) Complete the probability distribution table for the above: [...
5 answers
Point) Let f(z) Sc2 20x 6. Find the €-value(s where the graph of the function has horizontal tangent line. Separate multiple answers with commas. Enter DNE if there are no such €.
point) Let f(z) Sc2 20x 6. Find the €-value(s where the graph of the function has horizontal tangent line. Separate multiple answers with commas. Enter DNE if there are no such €....
5 answers
Where do I start?
Where do I start?...
5 answers
Consider the function f(x,y) = x2 _ 4y .,The graph of f(x, Y) is [ Select ]The contour map of f(x, Y) consists [Schect ] parabolas hyperbolas elliptic paraboloie circles. planes
Consider the function f(x,y) = x2 _ 4y ., The graph of f(x, Y) is [ Select ] The contour map of f(x, Y) consists [Schect ] parabolas hyperbolas elliptic paraboloie circles. planes...

-- 0.018395--