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Questions › UGC-NET › UGC-NET 2024 › Q89
2 marksMathematics › Matrices, determinants and linear systems › Matrix operations and special matricesHardabout 2 min

UGC-NET 2024 Question 89: Matrices, determinants and linear systems

Given A=[204131]A = \begin{bmatrix}2 & 0 & 4\\1 & 3 & 1\end{bmatrix}A=[21​03​41​] and B=[450]B = \begin{bmatrix}4 & 5 & 0\end{bmatrix}B=[4​5​0​], which of the following is true?
A. ABTAB^{T}ABT is [819]\begin{bmatrix}8\\19\end{bmatrix}[819​]
B. ABTAB^{T}ABT is defined
C. ABABAB is not defined
D. BABABA is defined
E. BATBA^{T}BAT is (8 19)(8\ 19)(8 19) Choose the correct answer from the options given below:

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Plain-text version

Given A = [2 0 4; 1 3 1] and B = [4 5 0], which of the following is true? A. ABᵀ is [8; 19] B. ABᵀ is defined C. AB is not defined D. BA is defined E. BAᵀ is (8 19) Choose the correct answer from the options given below: (A) A & E Only (B) A, B, C & E Only (C) A, B & C Only (D) A, C & E Only

Also written as: Given A = [2 0 4; 1 3 1] and B = [4 5 0], which of the following is true? A. AB^T is [8; 19] B. AB^T is defined C. AB is not defined D. BA is defined E. BA^T is (8 19) Choose the correct answer from the options given below:

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.

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Question from the UGC-NET 2024 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.