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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