If the matrix $$A=aij3$$×$$3$$,given that $$A=4123-1-2-3426+2541324382$$ then $$a32$$ in A

$$A=4812$$−$$4$$−$$8$$−$$1216824+10826486164=4+108+812+2$$−$$4+6$$−$$8+4$$−$$12+816+68+1624+4=1416142$$−$$4$$−$$4222428$$

Operations of matrix

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If the matrix $A = {[a_{ij}]}_{3 \times 3}, given that A = 4 [\begin{array}{c} \begin{matrix} 1 & 2 & 3 \\ - 1 & - 2 & - 3 \\ 4 & 2 & 6 \end{matrix} \end{array}] + 2 [\begin{array}{rrrrr} 5 & 4 & 1 \\ 3 & 2 & 4 \\ 3 & 8 & 2 \end{array}] t h e n a_{32} i n A$

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Solution

$\begin{array}{l} A = [\begin{array}{rrr} 4 & 8 & 12 \\ - 4 & - 8 & - 12 \\ 16 & 8 & 24 \end{array}] + [\begin{array}{ccc} 10 & 8 & 2 \\ 6 & 4 & 8 \\ 6 & 16 & 4 \end{array}] \\ = [\begin{array}{ccc} 4 + 10 & 8 + 8 & 12 + 2 \\ - 4 + 6 & - 8 + 4 & - 12 + 8 \\ 16 + 6 & 8 + 16 & 24 + 4 \end{array}] = [\begin{array}{ccc} 14 & 16 & 14 \\ 2 & - 4 & - 4 \\ 22 & 24 & 28 \end{array}] \end{array}$

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Operations of matrix

Remember concepts with our Masterclasses.

If the matrix A=aij3×3,given that A=4123-1-2-3426+2541324382 then a32 in A

A=4812−4−8−1216824+10826486164=4+108+812+2−4+6−8+4−12+816+68+1624+4=1416142−4−4222428

Ready to Test Your Skills?

free study material

If the matrix $A = {[a_{ij}]}_{3 \times 3}, given that A = 4 [\begin{array}{c} \begin{matrix} 1 & 2 & 3 \\ - 1 & - 2 & - 3 \\ 4 & 2 & 6 \end{matrix} \end{array}] + 2 [\begin{array}{rrrrr} 5 & 4 & 1 \\ 3 & 2 & 4 \\ 3 & 8 & 2 \end{array}] t h e n a_{32} i n A$