1 answer

Matrix Algebra 3. indicated sums and products are defined. Mark each statement True of False. Justify each The foll...

Question:

Matrix Algebra
3. indicated sums and products are defined. Mark each statement True of False. Justify each The following questions concern a

Answers

(a) False

A = [a1 a2] & B = [b1 b2]

So, AB  \neq [a1b1 a2b2]

(b) True

By the very definition of the product of 2 matrices.

(c) True

By distributive law (left) of product of matrices over addition of matrices.

(d) True

By definition & properties of the transpose of the addition of 2 matrices.

(e) False

Let us check the case for 2 matrices.

We have, (AB)T = (BTAT)

So, the transpose of a product of matrices equals the product of their transposes in the reverse order.

.

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