Given that the matrices A= bmatrix 2x & 3 y-1 & 5z bmatrix , B= bmatrix 7 & 3 4 & 20…

MATHEMATICS · Multi-part · CBSE · Mathematics · Matrices · Matrices

Problem

Given that the matrices

A=\begin{bmatrix}2x & 3\\ y-1 & 5z\end{bmatrix},\quad B=\begin{bmatrix}7 & 3\\ 4 & 20\end{bmatrix}

are equal, answer the following: (i) Write down the system of equations obtained by equating the corresponding elements of

A

and

B

. (ii) Solve the system to determine the values of

x,\,y

and

z