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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices1 Mark
Question
Solve for a, b and c if $\left[\begin{array}{cc}-4 & a+5 \\ 3 & 2\end{array}\right]=\left[\begin{array}{cc}b+4 & 2 \\ 3 & c-1\end{array}\right]$
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Answer

If two matrices are equal, then their corresponding elements are also equal.

a + 5 = 2 ⇒ a = -3

-4 = b + 4 ⇒ b = -8

2 = c – 1 ⇒ c = 3

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