Let A= bmatrix 3 & -1 2 & 0 bmatrix , B= bmatrix 1 & 4 -2 & 5 bmatrix

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let A=[3−120],B=[14−25].A=\begin{bmatrix}3 & -1\\2 & 0\end{bmatrix}, \quad B=\begin{bmatrix}1 & 4\\-2 & 5\end{bmatrix}. Answer the following: (i) Calculate the product ABAB. (ii) Calculate the product BABA. (iii) Verify that AB≠BAAB\neq BA and hence establish that matrix multiplication is not commutative in this case. (iv) Determine the matrix AB−BAAB-BA.

Related theory

Browse the problem library