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Let A and E be matrices with the following sizes. A : 3 × 2 E : 2 × 3 If defined

ID: 1719890 • Letter: L

Question

Let A and E be matrices with the following sizes.

A: 3 × 2      E: 2 × 3

If defined, determine the size of the matrix

E 2A.

(If an answer is undefined, enter UNDEFINED.)
[ ] x [ ]


If not defined, explain why.

a. E 2A is defined

b. E 2A is not defined because E and 2A have different sizes.

c. E 2A is not defined because E and 2A have the same size.

d. E 2A is not defined because the number of columns of E does not equal the number of rows of 2A.

e. E 2A is not defined because the number of rows of E does not equal the number of columns of 2A.

Explanation / Answer

If A and B are two matrices of same size, then only A-B is defined.

Given that A and E are matrices with the size A: 3 × 2      E: 2 × 3

Therefore, 2A and E are matrices with the size  3 × 2 and 2 × 3.

E 2A is not defined because E and 2A have different sizes.

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