Test
SECTION-1
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Preguntas del test (20)
1M and N are 3 x 3 matrices. if the det(M) is -9 and the det(N) is -14, then the det(NM) is ?
- A126
- B-126
- C1.55
- Dnot defined
2One of the Eigenvalues for the following Matrix is?
| a 2|
|8 a|- Aa-4
- B-a-4
- C4
- D-4
3The eigenvalues of the following matrix is ?
|-1 3 5|
|-3 -1 6|
|0 0 3|- A3, 3+5j, 6-j
- B-6+5j, 3+j, 3-j
- C3+j, 3-j, 5+j
- D3, -1+3j, -1-3j
4A is a 2x2 matrix with det(2) = 2. The det(2A) is.
- A4
- B8
- C32
- D16
5For a nxn identity matrix, the trace equals?
- A0
- B1
- Cn
- Dn^(2)
6Determinant of the following matrix is?
|3 1 2|
|1 2 1|
|4 2 3|
- A-2
- B-1
- C1
- D2
7the determinant of the matrix given below is?
|1 3 2|
|2 6 4|
|-5 3 1|- A-10
- B-5
- C0
- D5
8For the Matrix given below the eigenvalues are?
|1 0 -1|
|0 1 0|
|-1 0 1|- A0,2,2
- B1,1,2
- C0,1,2
- D0,1,3
9for matrix A
| 1 tan(x) |
|-tan(x) 1 | find det(Transpose(A) x Inverse(A))- Acos(4x)
- Bsec^2(x)
- C1
- D0
10Given an Orthogonal Matrix
|1 1 1 1 |
|1 1 -1 -1 |
|1 -1 0 0 |
|0 0 1 -1 |
then find the value of Inverse [A x transpose(A)]- A|1/4 0 0 0 |
|0 1/4 0 0 |
|0 0 1/4 0 |
|0 0 0 1/4 | - B|1/4 0 0 0 |
|0 1/4 0 0 |
|0 0 1/2 0 |
|0 0 0 1/2 | - C|1 0 0 0 |
|0 1 0 0 |
|0 0 1 0 |
|0 0 0 1 | - D|1/2 0 0 0 |
|0 1/2 0 0 |
|0 0 1/2 0 |
|0 0 0 1/2 |
- A|1/4 0 0 0 |
11Consider the Matrix A
|2 1 1|
|2 3 4|
|-1 -1 -2|
whose eigenvalues are 1,-1 and 3. Then the Trace of A^3 - 3A^2 is?- A-12
- B1
- C0
- D-6
12for the given matrix calculate Determinant
|2 1 1 1|
|1 3 1 1|
|1 1 4 1|
|1 1 1 5 |- A0
- B1
- C-74
- D74
13find the value of the determinant
|x a a a |
|a x a a |
|a a x a |
|a a a x |- A(x+3a) (x-3a)^3
- B(x+3a) (x-a)^2
- C(x-3a) (x+a)^3
- D(x-3a) (x+a)^2
14for A given below , det (A^−1) is __________
|1 2 3|
|0 4 5|
|0 0 1|- A4
- B-4
- C.25
- D-.25
15The product of eigenvalues of matrix P given below is
|2 0 1|
|4 -3 3|
|0 2 -1|- A-6
- B-12
- C2
- D-2
16q
- AThe determinant of P is equal to 1
- BP is orthogonal.
- CThe inverse of P is equal to its transpose.
- DAll eigenvalues of P are real numbers.
17The determinant of a 2x2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is
- A1/5
- Bcan't say
- C-5
- D5
18
the question in the attached image
- A2
- B1
- C0
- D-1
19the question in attached image
- A|-1|
|1| - B|-2|
| 9| - C|2|
|-1| - D|1|
|1|
- A|-1|
20Eigenvalues of a real symmetric matrix are always
- Apositive
- Bnegative
- Creal
- Dimaginary
Información
- Descripción
- Test sobre SECTION-1, creado por Roman Rains el 07/08/2021.
- Autor
- Roman Rains
- Idioma
- English
- Visitas
- 3
- Etiquetas
- Valoración
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