Given find x, y and z.

Engineering

Mathematics

Introduction to Matrix

Algebra of Matrices

Question

Given $[\begin{matrix} x & y + 2 \\ 3 & z - 1 \end{matrix}] = [\begin{matrix} 3 & 1 \\ 3 & 2 \end{matrix}]$ find x, y and z.

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If two matrices are said to be equal, then their corresponding elements are also equal.
Therefore,
x = 3
y + 2 = 1 so y = – 1
z – 1 = 2 So, z = 3