Description

This mock test of Matrix MCQ - 1 for Mathematics helps you for every Mathematics entrance exam.
This contains 20 Multiple Choice Questions for Mathematics Matrix MCQ - 1 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Matrix MCQ - 1 quiz give you a good mix of easy questions and tough questions. Mathematics
students definitely take this Matrix MCQ - 1 exercise for a better result in the exam. You can find other Matrix MCQ - 1 extra questions,
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QUESTION: 1

If a, b, h are real number, then the roots of the equation are

Solution:

QUESTION: 2

Let A = be expressed as P + Q, where P is symmetric matrix and Q is Skew — symmetric matrix. Which one of the following is correct?

Solution:

QUESTION: 3

can be written as a sum of a determinants

Solution:

QUESTION: 4

If the system of equations x — 2y — 3z = 1, ( P + 2 )z = 3, (2 P + l ) y + z = 2 inconsistent, then value of P is

Solution:

QUESTION: 5

Solution:

QUESTION: 6

The value of is equal to

Solution:

QUESTION: 7

The values of the minors of the elements of the first row of the determinant are respectively

Solution:

QUESTION: 8

The system of linear equation

x – y + 2z = b_{1}

x + 2y – z = b_{2}

2y – 2z = b_{2 }

is inconsistent when (b_{1}, b_{2}, b_{3}) equals

Solution:

The system of linear equation

x – y + 2z = b_{1}

x + 2y – z = b_{2}

2y – 2z = b_{2}

Apply

System is in consistent if

QUESTION: 9

The system of equations

2x + 2y – 3z = 1,

4x + 4y + z = 2,

6x + 6y – z = 3 has

Solution:

The matrix form of the system of equation is AX = b

The augmented matrix is

Applying R_{2 }→ R_{2} - 2R1 , R_{3} → R_{3} - 3R1, we have

Apply R_{3 }→ R_{3} - 8R_{2}

Hence, the rank of the matrix is equal to 2 i.e. r ( A | b) = 2.

Here, rank(A) = 2 = rank[A|b] < no of unknowns = 3. So there are infinite many solution of the system of equations.

QUESTION: 10

Square matrix A of order n over R has rank n. Which one of the following statement is not correct?

Solution:

**Since, if A is a square matrix of rank n, then it cannot be a singular**

QUESTION: 11

The system of equations

Solution:

QUESTION: 12

The given system of equation

Solution:

*Multiple options can be correct

QUESTION: 13

The matrix addition is

Solution:

*Multiple options can be correct

QUESTION: 14

Which of the following statements is/are correct. The trace of a matrix A = is defined by Tr(A) = a_{11} + a_{22}

Solution:

QUESTION: 15

Which of the following statements is correct?

Solution:

**Correct Answer :- a**

**Explanation :** Properties of Transpose :

(A + B)^{T} = A^{T} + B^{T}

(kA)^{T} = kA^{T}

*Multiple options can be correct

QUESTION: 16

Which of the following(s) is/are correct?

Solution:

*Multiple options can be correct

QUESTION: 17

Which of the following(s) is/are correct?

Solution:

*Multiple options can be correct

QUESTION: 18

Which of the following(s) is/are correct?

Solution:

*Multiple options can be correct

QUESTION: 19

Which of the following(s) is/are correct?

Solution:

*Multiple options can be correct

QUESTION: 20

Which of the following(s) is/are correct?

Solution:

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