Let and . Which of the following is correct concerning the products and…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let

A = \begin{pmatrix} 1 & -1 \\ 2 & -2 \end{pmatrix}

and

B = \begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}

. Which of the following is correct concerning the products

AB

and

BA

? (a)

AB = BA \neq O

(b)

AB = O

and

BA = O

(c)

AB = O

and

BA \neq O

(d)

AB \neq O

and

BA = O

Related theory

Matrix Operations
Matrices
Multiplication of matrices

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