GATE Engineering Mathematics: Linear Algebra: Matrix Algebra – Previous Year Questions
15 GATE previous year questions on Linear Algebra: Matrix Algebra (Engineering Mathematics, Electrical Engineering) with answers and explanations, from every paper.
- GATE 2015 EE Q13 – If the sum of the diagonal elements of a 2 2 matrix is -6, then the maximum possible value of determinant of the matrix is .
- GATE 2016 EE Q39 – Let A be a 4 3 real matrix with rank 2. Which one of the following statement is TRUE?
- GATE 2018 EE Q27 – Consider a non-singular 22 square matrix A. If trace( A)=4 and trace( A2)=5, the determinant of the matrix A is (up to 1 decimal place).
- GATE 2019 EE Q34 – The rank of the matrix M=bmatrix0&1&1\\1&0&1\\1&1&0bmatrix is .
- GATE 2019 EE Q36 – Consider a 22 matrix M=[v 1\ \ v 2], where, v 1 and v 2 are the column vectors. Suppose M-1=bmatrixu 1T\ 2Tbmatrix, where u 1T and u 2T are the row…
- GATE 2020 EE Q52 – The number of purely real elements in a lower triangular representation of the given 33 matrix, obtained through the given decomposition is .…
- GATE 2022 EE Q20 – Consider a 33 matrix A whose (i,j)-th element, a i,j=(i-j)3. Then the matrix A will be
- GATE 2022 EE Q42 – Consider a matrix A=bmatrix1&0&0\\0&4&-2\\0&1&1bmatrix. The matrix A satisfies the equation 6A-1=A2+cA+dI, where c and d are scalars and I is the…
- GATE 2023 EE Q11 – For a given vector w=[1\ 2\ 3]T, the vector normal to the plane defined by wT x=1 is
- GATE 2023 EE Q24 – In the figure, the vectors u and v are related as: A u= v by a transformation matrix A. The correct choice of A is (In the figure, u goes from (0,0)…
- GATE 2024 EE Q11 – Which one of the following matrices has an inverse?
- GATE 2025 EE Q14 – Let P=bmatrix2&1&0\\-1&0&0\\0&0&1bmatrix and let I be the identity matrix. Then P2 is equal to
- GATE 2026 EE Q35 – A is an m m skew-symmetric matrix with real-valued entries, and x is an m-dimensional column vector with real-valued entries such that xT x=1. The…
- GATE 2026 EE Q49 – Which one of the following statements is ALWAYS correct about a collection of p column vectors, each having n real-valued entries?
- GATE 2026 EE Q55 – Consider an n n orthogonal matrix A with real entries and each column having unit Euclidean norm. Which of the following statements is/are correct?