Let A=[} 7&0 0&2 ] Find each matrix below .If a matrix is not defined, click on "Undefined". (a) BA=square (b) AB=square (c) B^2=square

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Problemas

Let A=[} 7&0 0&2 ] Find each matrix below .If a matrix is not defined, click on "Undefined". (a) BA=square (b) AB=square (c) B^2=square

Answer 1

(a) \(BA = [\begin{matrix} 7&0\\ 0&-6\end{matrix} ]\) (b) \(AB = [\begin{matrix} 7&0\\ 0&-6\end{matrix} ]\) (c) \(B^{2} = [\begin{matrix} 1&0\\ 0&9\end{matrix} ]\)

Answer 2

## Step 1 To find the product of two matrices, we need to multiply each element of the rows of the first matrix by the corresponding elements of the columns of the second matrix and add them up. ## Step 2 (a) For \(BA\), we multiply each element of the rows of matrix B by the corresponding elements of the columns of matrix A and add them up. ## Step 3 (b) For \(AB\), we multiply each element of the rows of matrix A by the corresponding elements of the columns of matrix B and add them up. ## Step 4 (c) For \(B^{2}\), we multiply each element of the rows of matrix B by the corresponding elements of the columns of matrix B and add them up.

Problemas

Let A=[} 7&0 0&2 ] Find each matrix below .If a matrix is not defined, click on "Undefined". (a) BA=square (b) AB=square (c) B^2=square

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