Question

If A=[1−1032−1] and B=[135], find (AB)T.

• A. (A) [−24]
• B. (B) [−24]
• C. (C) [2−4]
• D. (D) [−2−4]

Answer 1

Answer: (B)

(B) [−24]

Answer 2

Explanation:
Given,A=[1−1032−1] and B=[135]⇒AB=[1−1032−1]×[135]⇒AB=[1−3+03+6−5]⇒AB=[−24]As we know,The new matrix obtained by interchanging the rows and columns of the original matrix is called as the transpose of the matrix. It is denoted by A′ or AT.∴(AB)T=[−24]Hence, the correct option is (B).