Short Description
This post contains important MCQs from Class 9 Mathematics – Matrices and Determinants.
These questions are helpful for board exams, tests, and revision.
MCQs-Matrices and Determinants
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The order of a matrix having 3 rows and 4 columns is:
- A) $$3 \times 3$$
- B) $$4 \times 3$$
- C) $$3 \times 4$$
- D) $$4 \times 4$$
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A matrix having equal number of rows and columns is called:
- A) Rectangular matrix
- B) Column matrix
- C) Square matrix
- D) Row matrix
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A matrix having only one row is called:
- A) Column matrix
- B) Square matrix
- C) Row matrix
- D) Zero matrix
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A matrix having only one column is called:
- A) Row matrix
- B) Column matrix
- C) Square matrix
- D) Identity matrix
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A matrix whose all elements are zero is called:
- A) Identity matrix
- B) Null matrix
- C) Scalar matrix
- D) Square matrix
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The matrix $$\begin{bmatrix}1 & 0 \\ 0 & 1\end{bmatrix}$$ is called:
- A) Null matrix
- B) Scalar matrix
- C) Identity matrix
- D) Square matrix
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If $$A=\begin{bmatrix}2 & 3 \\ 4 & 5\end{bmatrix}$$ then $$A_{12}$$ is:
- A) 2
- B) 3
- C) 4
- D) 5
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Two matrices can be added only if they have:
- A) Same elements
- B) Same order
- C) Same determinant
- D) Same trace
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If $$A$$ is of order $$2 \times 3$$ and $$B$$ is of order $$2 \times 3$$, then order of $$A+B$$ is:
- A) $$3 \times 2$$
- B) $$2 \times 2$$
- C) $$3 \times 3$$
- D) $$2 \times 3$$
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If $$A=\begin{bmatrix}1 & 2 \\ 3 & 4\end{bmatrix}$$ then $$2A$$ is:
- A) $$\begin{bmatrix}2 & 4 \\ 6 & 8\end{bmatrix}$$
- B) $$\begin{bmatrix}1 & 4 \\ 3 & 8\end{bmatrix}$$
- C) $$\begin{bmatrix}2 & 2 \\ 4 & 4\end{bmatrix}$$
- D) $$\begin{bmatrix}3 & 4 \\ 5 & 6\end{bmatrix}$$
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If $$A=\begin{bmatrix}a & b \\ c & d\end{bmatrix}$$ then $$|A|$$ equals:
- A) $$ad+bc$$
- B) $$ab-cd$$
- C) $$ad-bc$$
- D) $$ac-bd$$
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The determinant of $$\begin{bmatrix}5 & 7 \\ 5 & 7\end{bmatrix}$$ is:
- A) 35
- B) 0
- C) 14
- D) 10
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If determinant of a matrix is zero, the matrix is:
- A) Identity
- B) Non-singular
- C) Singular
- D) Scalar
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The determinant of identity matrix of order 2 is:
- A) 0
- B) 1
- C) 2
- D) −1
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The determinant of $$\begin{bmatrix}1 & 2 \\ 2 & 4\end{bmatrix}$$ is:
- A) 2
- B) −2
- C) 0
- D) 6
Answers
- C
- C
- C
- B
- B
- C
- B
- B
- D
- A
- C
- B
- C
- B
- C
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If $$|A| \neq 0$$, then matrix $$A$$ is:
- A) Singular
- B) Identity
- C) Non-singular
- D) Null
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The determinant of $$\begin{bmatrix}a & 0 \\ 0 & d\end{bmatrix}$$ is:
- A) $$a+d$$
- B) $$ad$$
- C) $$a-d$$
- D) 0
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The determinant of a triangular matrix is equal to:
- A) Sum of diagonal elements
- B) Product of diagonal elements
- C) Zero
- D) Square of diagonal elements
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Which of the following is always a square matrix?
- A) Row matrix
- B) Column matrix
- C) Identity matrix
- D) Rectangular matrix
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The order of determinant is defined only for:
- A) Rectangular matrices
- B) Square matrices
- C) Row matrices
- D) Column matrices
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If $$A$$ is a null matrix, then $$|A|$$ is:
- A) 1
- B) −1
- C) 0
- D) Undefined
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Which matrix has determinant always equal to 1?
- A) Null matrix
- B) Identity matrix
- C) Scalar matrix
- D) Rectangular matrix
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If $$A$$ is a square matrix, then $$|A^T|$$ is equal to:
- A) $$-|A|$$
- B) $$|A|$$
- C) $$|A|^2$$
- D) 0
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If $$|A|=4$$ and $$A$$ is $$2\times2$$, then $$|3A|$$ is:
- A) 12
- B) 36
- C) 24
- D) 9
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A determinant is a single:
- A) Matrix
- B) Row
- C) Column
- D) Number
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If $$|A|=-3$$, then $$|-A|$$ for a $$2\times2$$ matrix is:
- A) −3
- B) 3
- C) −6
- D) 6
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The determinant changes sign if:
- A) Rows are added
- B) Columns are multiplied
- C) Two rows are interchanged
- D) Two rows are equal
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If all elements of a row are zero, the determinant is:
- A) 1
- B) −1
- C) 0
- D) Undefined
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A determinant having non-zero value is called:
- A) Singular
- B) Non-singular
- C) Null
- D) Identity
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The determinant of a scalar matrix of order 2 with scalar $$k$$ is:
- A) $$k$$
- B) $$2k$$
- C) $$k^2$$
- D) $$k^3$$
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A square matrix whose determinant is zero is called:
- A) Identity matrix
- B) Singular matrix
- C) Scalar matrix
- D) Diagonal matrix
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Which operation is not possible for matrices?
- A) Addition
- B) Subtraction
- C) Multiplication
- D) Division
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If $$|A|=1$$, then matrix $$A$$ is:
- A) Singular
- B) Identity
- C) Non-singular
- D) Null
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The determinant of $$\begin{bmatrix}a & b \\ b & a\end{bmatrix}$$ is:
- A) $$a^2+b^2$$
- B) $$a^2-b^2$$
- C) $$2ab$$
- D) 0
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The determinant of a $$2\times2$$ matrix represents:
- A) A matrix
- B) A vector
- C) A number
- D) A function