Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › JNU › JNU SIS 2021 › Q66
0 marksMathematics › Matrices, determinants and linear systems › Matrix operations and special matricesModerateabout 1 min

JNU SIS 2021 Question 66: Matrices, determinants and linear systems

Suppose that A is (5X4) matrix, B is (r x s) matrix and C is (p X 3) matrix. If ATBCTA^TBC^TATBCT is defined (where ATA^TAT and CTC^TCT are transposes of A and C respectively), then the value of r and s are

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

Suppose that A is (5X4) matrix, B is (r x s) matrix and C is (p X 3) matrix. If AᵀBCᵀ is defined (where Aᵀ and Cᵀ are transposes of A and C respectively), then the value of r and s are (A) r= 5, s = 3 (B) r = 3, s = 5 (C) r= 3, s = 3 (D) r= 5, s =5

Also written as: Suppose that A is (5X4) matrix, B is (r x s) matrix and C is (p X 3) matrix. If A^TBC^T is defined (where A^T and C^T are transposes of A and C respectively), then the value of r and s are

Matrices, determinants and linear systems has come up 102 times in 7 exams since 2006.

What this question tests

This question is on Matrix operations and special matrices, part of Matrices, determinants and linear systems in Mathematics.

Adding, multiplying and transposing matrices, and the matrices with special properties.

TestStop has 25 past-paper questions on this subtopic.

Practise Matrices, determinants and linear systemsMore on Matrix operations and special matrices

Similar questions from other papers

  • CUET-PG 2026 · Q23Given the matrices, A and B as A=[1 2; -2 4], B=[3 -2; 5 0]. What will be AB?
  • GATE 2026 · Q27A is an (n × n) matrix. Consider the following two statements Statement 1: Columns of matrix A are linearly independent Statement 2: Inverse of matrix A exists Which…
  • IIT JAM 2026 · Q27A 2×2 matrix Z=[Z₁ Z₂; Z₃ Z₄] has the properties: (i) Zᵢ∈ℝ for all i; (ii) Zᵢ≠ 0 for some i; and (iii) Z=Z²=Z³=⋯. Which one of the following options is CORRECT?
  • UGC-NET 2026 · Q31Given A = [1 3; 2 8; 4 0] and B = [5; 9]; then A × B will be:
  • CUET-PG 2025 · Q24If A and B are symmetric matrices of the same order, which one of the following is not correct?

Question from the JNU SIS 2021 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.