Question Suppose the matrix product AB is defined. a. If A is a 62 x 43 matrix and (AB) is a 71 x 62 matrix, what size is matrix B?

Step 1. Dimension Analysis Observe that the two given matrices are the same size. Namelų, the matrices A and B each have dimensions: Consequently, their products AB and BA also each have the same size. Namely, the products AB and BA each have the dimensions: Step 2. Calculate the matrix product AB and enter your results into the table below. Simplifų your result as much as possible. If the answer is undefined, leave the answer blank.or type the letter:N В АВ -4 1 12 12 -13 6. -14 8. 0. 3 7. - 1

AB: BA: ATB BC: ABC- CA: BT A BCT Let A be a 4 by 8, B be a 8 by 7 and C be a 7 by 4 matrix. Determine the size of the following matrices (if they do not exist, type N in both answer boxes): by by by by by by by by

Find the LU factorization of -3 3 A -9 13 %3D -5 | That is, write A = LU where L is a lower triangular matrix with ones on the diagonal, and U is an upper triangular matrix. A =

Let A be a 4 x 4 matrix which is row equivalent to the matrix invertible? Tooo 0 -3 oooo 0 obon HTTN -6 -6 0 0 0 1 Is A