Nathan G.

asked • 08/06/20# Performing Matrix Operations

Let A = [0, 1, 2, 3], B = [2, 0 , 1, 1], C = 1, 0, 4, 1, 3, -1], D = [0, 0, 1, -1, 2, 1, 1, 3, 0]

For each of the following either state that it is not defined or perform the indicated operation(s).

(a) 4A + 3B

(b) BC

(c) CA

(d) BC + B

(e) C + BC

## 1 Expert Answer

Mark M. answered • 08/06/20

Retired math prof. Very extensive Precalculus tutoring experience.

I assume that A and B are 2 x 2, C is 2 x 3, and D is 3 x 3??

For instance, the first row of A is [0 1] and the second row is [2 3].

If so, then 4A + 3B is 2 x 2 with first row [ 6 4] and second row [11 15]

BC is 2 x 3 with first row [2 0 8] and second row [2 3 3]

CA is undefined since the number of columns of C is not the same as the number of rows of A.

BC + B is undefined since BC and B have different dimensions (2 x 3 vs 2 x 2)

C + BC is 2 x 3 with first row [3 0 12] and second row [3 6 4]

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Robert Z.

Hi Nathan, Maybe it's the limitation of the text entry tool, but all your matrices appear to have one row and multiple columns. If that were true, none of the multiplications would be defined. Please indicate the dimensions of each matrix.08/06/20