Question

For the symmetric matrix A [2 x 4 5 3 8 4 y 9] find the value of x and y

Answer 1

Step-by-step explanation:

Given that:

$A=\left[\begin{array}{ccc}2&x&4\\5&3&8\\4&y&9\\\end{array}\right]$

To find: x and y

Solution: A square matrix is said to be symmetric, if Transpose of that matrix is equal to matrix itself.

A = A'

First write the Transpose of matrix A

$A^{'}=\left[\begin{array}{ccc}2&5&4\\x&3&y\\4&8&9\\\end{array}\right]$

Now compare both

$\left[\begin{array}{ccc}2&x&4\\5&3&8\\4&y&9\\\end{array}\right]=\left[\begin{array}{ccc}2&5&4\\x&3&y\\4&8&9\\\end{array}\right]$

Thus,For matrix A to be symmetric value of x and y should be

x= 5

y = 8

Hope it helps you.

Answer 2

Answer:

x= 5

x= 5y = 8

hope it helps you.....