Question

find the value of a23 +a32 in the matrix A=[aij]3x3
where aij={l2i-jl if i>j
{-i+2j+3 if i<=j
no spamming otherwise I report that ans.​

Answer 1

$\textbf{Given:}$

$\text{For i>j , a_{ij}=|2i-j| }$

$\text{For i\leq\,j , a_{ij}=-i+2j+3 }$

$\textbf{The general 3{\times}3 matrix is}$

$A=\left(\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}\end{array}\right)$

$\text{Now,}$

$a_{23}=-2+2(3)+3=7$

$a_{32}=|2(3)-2|=|6-2|=4$

$\bf\;a_{23}+a_{32}$

$=7+4$

$=11$

$\implies\boxed{\bf\;a_{23}+a_{32}=11}$

$\therefore\textbf{The value of \bf\;a_{23}+a_{32} is 11}$

Find more:

1.A matrix of order 3X3 has determinant 5. What is the value of |3A|?

https://brainly.in/question/3052917

2.A is a square matrix with |A|=4 then find the value of |A. (adjA)|

https://brainly.in/question/10368771

3.If A is a matrix such that A^3=I , then show that A is invertible

https://brainly.in/question/9894201