Question
The colum space of matrix is the span of its column vectors_ The row space matrix is the span of its row vectors For the following matrix:M =Find the dimension of the column space. Find the dimension of the row space. Verily that and (ii) equal: (iv ) Speculate whether the above equality will always hold.
The colum space of matrix is the span of its column vectors_ The row space matrix is the span of its row vectors For the following matrix: M = Find the dimension of the column space. Find the dimension of the row space. Verily that and (ii) equal: (iv ) Speculate whether the above equality will always hold.
Answers
Find the dimension of each matrix. Identify any square, column, or row matrices. See the discussion preceding Example I. $$ \left[\begin{array}{l} 2 \\ 4 \end{array}\right] $$
Hello guys is this question. We are given a matrix, which is negative four, eight, 2 & three. And as we know the school rule and this cold cold and our metrics here, we have two rows through one Andrew too, and we have two columns. This is column one and this is column two. So the dimensions of the metrics are two by two matrix. This is the number of rows and this is the number of columns. Since the number of rows equals the number of columns, this is a square metrics and that's it.
Have you guys here we are given in metrics and we are required to identify its dimensions and it's time. So our metrics here is negative line six, two and four 18. So here we have a role one and here we have To so we have two rows and here we have column one column to column three. So we have three columns. So as the dimensions of the metrics is to 53 number of cruise times, number of columns. Since the number of routes does not equal the number of columns and it has more than one column and more than one room. This is a rectangular matrix. Okay, Okay. And that's it.
Hello guys. This question we are required to identify the dimensions of the metrics and identify its type. So our metrics here is negative 6800 here for one 92. I'm here 3 -5 7 1. And as we know this through one in this role tool and this is No three. This is cool. One column to column three in column four. So we have here three rules and for columns this is a number of fruits and this is the number of columns. So the dimensions of our matrix at three times four. And it's time it's rectangular metrics since tells more than one rule and more than one column and the number of rooms does not equal the number of columns.
Well, this problem we have the matrix -482, 3. We want to first find the dimensions. Well, the dimensions is the number of rows by the number of columns. And here we have our rose and here we have our columns, columns dropping down Rose draw across. That's what this means. This is a two x 2 matrix. Mhm. Now we also want identifying square column or row matrices. Well, this is two x 2, the same number of rows as it does problems. This tells us that it is a square matrix. Two by two is a square matrix, so it's two by two square matrix.