GATE CE 2024 Set 2 | Linear Algebra Question 5 | Engineering Mathematics

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GATE CE 2024 Set 2

MCQ (Single Correct Answer)

-0.33

The statements P and Q are related to matrices A and B, which are conformable for both addition and multiplication.

P: $(A + B)^T = A^T + B^T$

Q: $(AB)^T = B^T A^T$

Which one of the following options is CORRECT?

P is TRUE and Q is FALSE

Both P and Q are TRUE

P is FALSE and Q is TRUE

Both P and Q are FALSE

GATE CE 2023 Set 2

MCQ (More than One Correct Answer)

-0

For the matrix

$\rm [A]=\begin{bmatrix}1&-1&0\\\ -1&2&-1\\\ 0&-1&1\end{bmatrix}$

which of the following statements is/are TRUE?

[𝐴]{𝑥} = {𝑏} has a unique solution

[𝐴]{𝑥} = {𝑏} does not have a unique solution

[𝐴] has three linearly independent eigenvectors

[𝐴] is a positive definite matrix

GATE CE 2023 Set 1

MCQ (More than One Correct Answer)

-0

If M is an arbitrary real n × n matrix, then which of the following matrices will have non-negative eigenvalues?

MMT

MTM

(MT)2

GATE CE 2022 Set 2

MCQ (More than One Correct Answer)

-0

Let y be a non-zero vector of size 2022 $$\times$$ 1. Which of the following statements is/are TRUE?

yy^T is symmetric matrix

yy^T is invertible

yy^T has a rank of 2022

y^Ty is an eigen value of yy^T.

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Irrigation

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Construction Materials Program Evolution Review Technique Critical Path Method

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Shear Stress In Beams Complex Stress Centroid and Moment of Inertia Simple Stresses Pure Bending Shear Force and Bending Moment Columns and Struts Propped Cantilever Beam Torsion Deflection of Beams Thin Cylinder Strain Energy Method

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