GATE Questions & Answers of Matrix Algebra

What is the Weightage of Matrix Algebra in GATE Exam?

Total 7 Questions have been asked from Matrix Algebra topic of Linear Algebra subject in previous GATE papers. Average marks 1.71.

For matrices of same dimension M, N and scalar c, which one of these properties DOES NOT ALWAYS hold?

Consider the matrix


which is obtained by reversing the order of the columns of the identity matrix I6.

Let P=I6+αJ6, where α is a non-negative real number. The value of α for which det (P) = 0 is _____

The determinant of matrix A is 5 and the determinant of matrix B is 40. The determinant of matrix AB  is ________.

The maximum value of the determinant among all 2×2 real symmetric matrices with trace 14 is ________.

Let A be an m x n matrix and B an n x m matrix. It is given that determinant (Im + AB) = determinant (In +BA) , where Ik is the k x k identity matrix. Using the above property, the determinant of the matrix given below is


Given that

A=-5-320 and I=1001, the value of A3 is

Consider the matrix P=01-2-3. The value of ep is