Knowee
Questions
Features
Study Tools

If for a square matrix A, A2 3A + I = O and A 1 = xA + yI, then thevalue of x + y is :

Question

If for a square matrix A,

A^2 - 3A + I = O

and

A^{-1} = xA + yI,

then the value of x + y is :

🧐 Not the exact question you are looking for?Go ask a question

Solution

The question seems to be incomplete or incorrectly formatted. However, I'll try to provide a general solution based on the given information.

Given that A^2 - 3A + I = O, where A is a square matrix, I is the identity matrix, and O is the zero matrix.

Also given that A * 1 = xA + yI, which simplifies to A = xA + yI.

From this, we can infer that x = 1 (since xA should be equal to A) and y = 0 (since there is no identity matrix on the left side of the equation).

Therefore, the value of x + y would be 1 + 0 = 1.

This problem has been solved

Similar Questions

If for a square matrix A, A2 3A + I = O and A 1 = xA + yI, then thevalue of x + y is :

Given that,Determine the 2 × 2 matrices X and Y satisfyingi. AX = B;ii. Y A = B. (6)

If X is a matrix with 3 rows and 2 columns, and Y is a matrix with 2 rows and 3 columns, then we can perform the multiplication YX but not XY.

If A is any square matrix of order 3 × 3 such that |A| = 3, then the value of|adjA| is

Let A = (aij) be the 2x2 matrix of reflection in the x-axis followed by reflection in the line y = x.Find a12

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.