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WorksheetsMatrices revision
Total questions: 15
Worksheet time: 13mins
Name
Class
Date
1.
What are the eigen values of the matrix
a)
2,3,5
b)
1,4,6
c)
0,0,0
d)
1,0,0
2.
If A is a square matrix Ax=λx for nonzero scalar λ, then x is an eigenvector of A
a)
True
b)
False
3.
If 0 is an eigenvalue of a matrix A, then A2 is singular(singular means not invertible that is determinant is zero)
a)
True
b)
False
4.
Find eigenvalues for matrix A
a)
λ=1,3
b)
λ=-1,2
c)
λ=1,-2
d)
λ=1,4
5.
Find the eigenvalues for A9 of matrix A
a)
λ=1,1/8,512
b)
λ=1,1/2,2
c)
λ=1,1/512,512
d)
λ=1,0,512
6.
Find the eigenvalues AT and A-1 of matrix A
a)
AT: λ=1,4,7
A-1: λ=1,1/4,1/7
A-1: λ=1,1/4,1/7
b)
AT: λ=1,5,9
A-1: λ=1,1/5,1/9
A-1: λ=1,1/5,1/9
c)
AT: λ=0,5,8
A-1: λ=0,1/5,1/8
A-1: λ=0,1/5,1/8
d)
AT: λ=1,0,0
A-1: λ=undefined
A-1: λ=undefined
7.
Find eigenvalues for matrix A.
a)
- 1
b)
2
c)
-3
d)
4
8.
Find eigenvalues for matrix B.
a)
1
b)
-1
c)
5
d)
-5
9.
If A is the matrix given below then what are the eigenvalues of 3A
a)
1,2,4
b)
3,6,12
c)
3,3,3
d)
-2.-3.-5
10.
a)
3
b)
5
c)
4
d)
2
11.
a)
3 1+4 1 +51
b)
12
c)
-12
d)
−31−41−51
12.
a)
-2,0
b)
0,0
c)
-2,-1
d)
-2,1
13.
If A is an ORTHOGONAL MATRIX, then
A−1=a)
A
b)
AT
c)
-A
d)
−AT
14.
If A is an SYMMETRIC MATRIX, then
AT=a)
A
b)
A−1
c)
-A
d)
−AT
15.
If A is an SKEW -SYMMETRIC MATRIX, then
AT=a)
A
b)
A−1
c)
-A
d)
−A−1
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