Find the order of AB and BA if A-aij-4 - 3 - B-bij-3 - 2

A=[a_ij]_4×3 B=[b_ij]_3×2 AB=[a_ij]_4×3[b_ij]_3×2 =[C_ij]_4×2 But BA not possible as the number of colums of B does not match the ...

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Standard XII

Mathematics

De Morgan's Law

Find the orde...

Question

Find the order of $A B$ and $B A$ if $A = {[a_{i j}]}_{4 \times 3}, B = {[b_{i j}]}_{3 \times 2}$

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Solution

$A = [a_{i j}]_{4 \times 3} B = [b_{i j}]_{3 \times 2} A B = [a_{i j}]_{4 \times 3} [b_{i j}]_{3 \times 2} = [C_{i j}]_{4 \times 2}$

But $B A$ not possible as the number of colums of $B$ does not match the number of rows of $A (2 \neq 4)$

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Similar questions

Q. Determine whether the product of the matrices is defined in each case. If so, state the order of the product. AB, where

A = [a_{i j}]_{4 \times 3}, B = [b_{i j}]_{3 \times 2}

$I f m a t r i x A = [a_{i j}]_{3 \times 3}, m a t r i x B = [b_{i j}]_{3 \times 3} w h e r e a_{i j} + a_{j i} = 0 a n d b_{i j} - b_{j i} = 0, t h e n | A^{4} . B^{3} | i s$

Q. let

A = {[a_{i j}]}_{3 \times 3}

and

B = {[a_{i j}]}_{3 \times 3}

, where

b_{i j} = 2^{i + j} a_{i j}

for all

i, j

. if

i, j .

| A | = 2

, then

| B | =

$I f m a t r i x A = [a_{i j}]_{3 \times 3}, m a t r i x B = [b_{i j}]_{3 \times 3} w h e r e a_{i j} + a_{j i} = 0 a n d b_{i j} - b_{j i} = 0, t h e n | A^{4} . B^{3} | i s$

I f m a t r i x A = [a_{i j}]_{3 \times 3}, m a t r i x B = [b_{i j}]_{3 \times 3} w h e r e a_{i j} + a_{j i} = 0 a n d b_{i j} - b_{j i} = 0, t h e n A^{4} . B^{3} i s

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Find the order of AB and BA if A=[aij]4×3,B=[bij]3×2

A=[aij]4×3B=[bij]3×2AB=[aij]4×3[bij]3×2=[Cij]4×2But BA not possible as the number of colums of B does not match the number of rows of A(2≠4)

Find the order of $A B$ and $B A$ if $A = {[a_{i j}]}_{4 \times 3}, B = {[b_{i j}]}_{3 \times 2}$

$A = [a_{i j}]_{4 \times 3} B = [b_{i j}]_{3 \times 2} A B = [a_{i j}]_{4 \times 3} [b_{i j}]_{3 \times 2} = [C_{i j}]_{4 \times 2}$

But $B A$ not possible as the number of colums of $B$ does not match the number of rows of $A (2 \neq 4)$