Given, and . Find A + C

Engineering

Mathematics

Introduction to Matrix

Algebra of Matrices

Question

Given,

A = [\begin{array}{ccc} 1 & 3 & 5 \\ - 1 & 0 & 2 \\ 0 & 4 & - 3 \end{array}]

and

C = [\begin{array}{ccc} 4 & 1 & - 2 \\ 3 & 2 & 1 \\ 2 & - 1 & 7 \end{array}]

. Find A + C

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As A and C are two matrices of the same type, ∴ sum A + C is defined.

$∴ A + C = [\begin{array}{ccc} 1 & 3 & 5 \\ - 2 & 0 & 2 \\ 0 & 4 & - 3 \end{array}] + [\begin{array}{ccc} 4 & 1 & - 2 \\ 3 & 2 & 1 \\ 2 & - 1 & 7 \end{array}]$

$= [\begin{array}{ccc} 1 + 4 & 3 + 1 & 5 - 2 \\ - 2 + 3 & 0 + 2 & 2 + 1 \\ 0 + 2 & 4 - 1 & - 3 + 7 \end{array}]$

$= [\begin{array}{lll} 5 4 3 \\ 1 2 3 \\ 2 3 4 \end{array}]$