Linear Algebra: UNIT IV: Matrix Decomposition
Matrix Decomposition: Multiple Choice Questions and Answers
Linear Algebra: UNIT IV: Matrix Decomposition: Multiple Choice Questions and Answers
MATRIX DECOMPOSITION
Multiple Choice
Questions and Answers
1. Let 
then the value of <x, y> is
(A) 8
(B) 9
(C) 10
(D) 12
2. The magnitude of x =
[2, −3, −4] is
(A) √29
(B) √28
(C) √27
(C)
√26
3. Given that 
then the value of <x, y> is
(A)
9
(B)
10
(C) 11
(D)
12
4. Given that then the value of <x, y> is
(A)
22
(B)
23
(C)
24
(D) 25
5. Given that then the value of ||x|| is
(A) √5
(B)
√6
(C)
√7
(D)
√8
6. Given that then the value of ||y|| is
(A)
2
(B)
3
(C)
4
(D) 5
7. The set of distinct
eigenvalues is called the
(A)
Spectrum of the matrix
(B)
Inner product of the matrix
(C)
Orthogonal of the matrix
(D)
Orthonormal of the matrix
8. If A is a symmetric
matrix, then eigenvectors of A corresponding to distinct eigenvalues are
(A)
Orthogonal
(B)
Orthonormal
(C)
Spectrum
(D)
Inner product
9. Let an n×n Hermitian
matrix be A. It is said to be positive definite if
(A)
<X,X> > 0
(B)
<Y, Y> > 0
(C)
<AX, X> > 0
(D)
<AX, X> < 0
10. A matrix A is said
to be normal matrix if
(A)
AAT=ATA
(B) AAH=AHA
(C)
AA‒1=A‒1A
(D)
AAT=A
Linear Algebra: UNIT IV: Matrix Decomposition : Tag: maths, mathematics : - Matrix Decomposition: Multiple Choice Questions and Answers
Linear Algebra: UNIT IV: Matrix Decomposition
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Linear Algebra
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