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Question (5 points): If det(A) = 2,then A? is singular matrixSelect one:TrueFalse...

Question

Question (5 points): If det(A) = 2,then A? is singular matrixSelect one:TrueFalse

Question (5 points): If det(A) = 2,then A? is singular matrix Select one: True False



Answers

determine whether the statement is true or false. Justify your answer. If a square matrix has an entire row of zeros, then the determinant of the matrix is zero.

We need to find whether the statement is true or false. The statement is a non singular matrix can have a dimension to grocery. Now, this statement is a false statement because we can find the determinant. Oh ah, Skier murders is if a mattress, if a metrics, is no to scare metrics so we can't find the dominant. So we can't check whether the given medics is a singular or known single metrics. So this statement is a false statement.

The question ist says If it's where matters has entire but your digital, then detrimental Always jump off genealogy toe for five It is square my legs The determinant, Joe Gentle five Poor type If you calculate this Jiro Indoor five minus zero in for logistical judo. So yes, it is group.

So in this case, we need to show that if this statement is true on the statement is that if you got some metrics a two by two um, it has to equal gross. Then that implies that the determinant off this matrix is equal to zero. So this is actually quite easy. Let's consider the general case for two by two matrix. So is a B. C D. But what the statement say is that it got to equal roles. So let's make to equal Rose here A and B. So here we got this part off the statement and we need to show that this implies that the determinant is equal to zero. So let's compute determinant. So that means taking a B A B on this determinant is equals to a B minus a B. This clearly is equals to zero. So yes, it's true. If two rolls off two by two matrix are equal, then the determinant is equal to zero on. Actually just mentioned, this is a general property off the determinant. If two roles are equal or actually even more general, if two if one role is a linear combination off other role in a in n by N. Matrix in a square matrix. Then immediately the terminal will be equals to zero. So just to mention

Two column office government tricks are safe. Solid a square matrix it it a one a two, a three, a one a two, a three and B. C d. Who called on side of Sam The determinant will be a one a one a two a two a three a three b c d No subjecting this se see when see one minus e So you find this is geology Ito Ito They want a toe a city B c it so all the element off column are Jiro dutiful. It is a world judo. You just proved now that if all the elements off any column are any robot zero the new tremendous Johanns Therefore, it is screwed A statement True statement.


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