# GATE Questions & Answers of Matrix algebra

## What is the Weightage of Matrix algebra in GATE Exam?

Total 8 Questions have been asked from Matrix algebra topic of Linear Algebra subject in previous GATE papers. Average marks 1.25.

Given the matrices $J=\left[\begin{array}{ccc}3& 2& 1\\ 2& 4& 2\\ 1& 2& 6\end{array}\right]$ and $K=\left[\begin{array}{c}1\\ 2\\ -1\end{array}\right]$,the product KT JK is _________.

The determinant of matrix $\left[\begin{array}{cccc}0& 1& 2& 3\\ 1& 0& 3& 0\\ 2& 3& 0& 1\\ 3& 0& 1& 2\end{array}\right]$ is ____________

What is the minimum number of multiplications involved in computing the matrix product PQR? Matrix P has 4 rows and 2 columns, matrix Q has 2 rows and 4 columns, and matrix R has 4 rows and 1 column. __________

[A] is a square matrix which is neither symmetric nor skew-symmetric and [A]T is its transpose.The sum and differene of these matrices are defined as [s]=[A]+[A]T and [D]=[A]-[A]T,respectively.Which of the following statements is true?

The inverse of the matrix  $\left[\begin{array}{cc}3+2i& i\\ -i& 3-2i\end{array}\right]$ is

A square matrix B is skew-symmetric if

The inverse of the 2 × 2 matrix $\left[\begin{array}{cc}1& 2\\ 5& 7\end{array}\right]$ is