Q Find A, if if 413A = -484-121-363 - Maths - Matrices

Question

Q Find A, if i f   4 1 3 A   =   - 4 8 4 - 1 2 1 - 3
6 3

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

413 A = -484-121-363For multiplication to be possible No
 of columns of matrix 413 is equal to number of rows of matrix A
Number of rows in A =1Order of matrix -484-121-363 is 3x3Where number of rows equals to first matrix and number of columns is equal to second matrix i
e  A matrix
Number of columns in A=3So, order of matrix A is 1 x 3 
Let A = abcNow,413 abc= -484-121-3634a4b4cabc3a3b3c = -484-121-363On comparing a=-1 , b=2 and c=1 
A = -121
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Q. Find A, if i f 4 1 3 A = - 4 8 4 - 1 2 1 - 3 6 3

Q. Find A, if $i f [\begin{matrix} 4 \\ 1 \\ 3 \end{matrix}] A = [\begin{matrix} - 4 & 8 & 4 \\ - 1 & 2 & 1 \\ - 3 & 6 & 3 \end{matrix}]$