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

J6=000001000010000100001000010000100000

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

2111121111211112  

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