Matrices A and B are shown below.

A = (1 0 1

1 0 0

1 1 1)

B (0 1 0

X 0 Y

1 - 1 0)

What values of x and y will make the equation AB = I true?

X=1

Y=-1

X=-1

7=-1

X=-1

Y=1

X=1

Y=1

The first thing you must remember is that the product of matrices is done by multiplying rows by columns.

For this case, the AB matrix is

AB = [1 0 0; 0 1 0; (x + 1) 0 y]

Equalizing the identity matrix we have

AB = I

[1 0 0; 0 1 0; (x + 1) 0 y] = [1 0 0; 0 1 0; 0 0 1]

Therefore we have

x + 1 = 0

y = 1

The values of x and y are

x = - 1

y = 1

the answer is

X=-1

Y=1