Matrices and Determinants Test

Result

Matrices and Determinants Test - 12

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A
1 , – 1

B
2 , –3

C
– 1, 1

D
3, - 2

Solution
Question 4
4 / -1

If the area of the triangle on the complex plane formed by the points z , z + iz is 200, then the value of 3|z| be equal to

A
20

B
40

C
60

D
80

Solution
Question 5
4 / -1

A
0

B
2abc

C
a²b²c²

D
None of these

Solution
Question 6
4 / -1

A
4

B
6

C
7

D
8

Solution
Question 7
4 / -1

Consider the following statements
I. If any two rows or columns of a determinant are identical, then the value of the determinant is zero.
II. If the corresponding rows and columns of a determinant are interchanged, then the value of determinant does not change.
III. If any two rows (or columns) of a determinant are interchanged, then the value of the determinant in sign.
Which of these correct ?

A
I and II

B
II and III

C
I, II and III

D
I and III
Question 8
4 / -1

If I denotes the 3 × 3 identity matrix and P is a matrix obtained by rearranging the columns of I. Then,

A
there are six distinct choices for P and det(P) = 1

B
there are six distinct choices for P and det(p) = ± 1

C
there are more than one choices for P and some of them are not invertible

D
there are more than choices for P and P^-1 = I in each choice

Solution
Question 9
4 / -1

If a, b and c are non- zero and different from 1, then the value of

A
0

B
1 + log_a(a + b + c)

C
log_a(a + b + c)

D
1

Solution
Question 10
4 / -1

A
χyz = –1

B
χyz = –1

C
χyz = – 2

D
χyz = 2

Solution