Find the values of x, y and z if

Engineering

Mathematics

Introduction to Matrix

Algebra of Matrices

polynomial function

Question

Find the values of x, y and z if $[\begin{array}{cc} x + 2 & 6 \\ 3 & 5 z \end{array}] = [\begin{array}{cc} - 5 & y^{2} + y \\ 3 & - 20 \end{array}]$

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$[\begin{array}{cc} x + 2 & 6 \\ 3 & 5 z \end{array}] = [\begin{array}{cc} - 5 & y^{2} + y \\ 3 & - 20 \end{array}]$

x + 2 = –5 5z = – 20

x = –5 – 2 z = – 20 / 5

x = – 7 z = – 4

y² + y = 6

y² + y – 6 = 0

y² + 3y – 2y – 6 = 0

y(y + 3) – 2(y + 3) = 0

(y + 3) = 0

(y – 2) = 0

So y = –3, y = 2