Question

For what value of x, y and z matrices A and B are equal

\(A = \begin{bmatrix} 2 & 0 & x+3 \\\ y-4 & 4 & 6 \end{bmatrix} ; \ \ B = \begin{bmatrix} 2 & 0 & 6 \\\ -2 & 4 & 2z \end{bmatrix}\)

1. x = -3, y = -2 and z = 3
2. x = -3, y = 2 and z = 3
3. x = 3, y = -2 and z = 3
4. x = 3, y = 2 and z = 3
5. x = 3, y = 2 and z = -3

Answer 1

Correct Answer - Option 4 : x = 3, y = 2 and z = 3

Concept:

A and B are equal matrices, hence their corresponding elements are also equal.

Calculation:

x + 3 = 6

⇒ x = 3

y - 4 = - 2

⇒ y = 2

2z = 6

⇒ z = 3

∴ x = 3, y = 2 and z = 3