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#748 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2025
KNOWLEDGE 1 Marks
Let A be a square matrix of order 3. If \(|A|=5\), then \(|\operatorname{adj} A|\) is:
(A) 5
(B) 125
(C) 25
(D) -5
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#747 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2025
KNOWLEDGE 1 Marks
If \(\begin{bmatrix}2x-1&3x\\ 0&y^{2}-1\end{bmatrix}=\begin{bmatrix}x+3&12\\ 0&35\end{bmatrix},\) then the value of \((x-y)\) is :
(A) 2 or 10
(B) 2 or 10
(C) 2 or - 10
(D) -2 or - 10
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#746 Mathematics Matrices and Determinants
MCQ_SINGLE REMEMBER 2024
KNOWLEDGE 1 Marks
If a matrix has 36 elements, the number of possible orders it can have, is:
(A) 13
(B) 3
(C) 5
(D) 9
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#745 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
If \(\begin{bmatrix}x+y&2\\ 5&xy\end{bmatrix}=\begin{bmatrix}6&2\\ 5&8\end{bmatrix},\) then the value of \((\frac{24}{x}+\frac{24}{y})\) is:
(A) 7
(B) 6
(C) 8
(D) 18
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#744 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
\(\begin{vmatrix}x+1&x-1\\ x^{2}+x+1&x^{2}-x+1\end{vmatrix}\) is equal to:
(A) \(2x^{3}\)
(B) 2
(C) 0
(D) \(2x^{3}-2\)
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#743 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
If A and B are two non-zero square matrices of same order such that \((A+B)^{2}=A^{2}+B^{2}\) then :
(A) \(AB=O\)
(B) \(AB=-BA\)
(C) \(BA=O\)
(D) \(AB=BA\)
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#742 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
If the sum of all the elements of a \(3\times3\) scalar matrix is 9, then the product of all its elements is:
(A) 0
(B) 9
(C) 27
(D) 729
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#741 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
If \(\begin{vmatrix}-a&b&c\\ a&-b&c\\ a&b&-c\end{vmatrix}= kabc,\) then the value of k is:
(A) 0
(B) 1
(C) 2
(D) 4
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#740 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
If \(A=[a_{ij}]\) be a \(3\times3\) matrix, where \(a_{ij}=i-3j\), then which of the following is false ?
(A) \(a_{11}\lt0\)
(B) \(a_{12}+a_{21}=-6\)
(C) \(a_{13}\gt a_{31}\)
(D) \(a_{31}=0\)
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#739 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
If \(F(x)=\begin{bmatrix}\cos~x&-\sin~x&0\\ \sin~x&\cos~x&0\\ 0&0&1\end{bmatrix}\) and \([F(x)]^{2}=F(kx)\), then the value of k is :
(A) 1
(B) 2
(C) 0
(D) -2
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#738 Mathematics Matrices and Determinants
MCQ_SINGLE UNDERSTAND 2024
KNOWLEDGE 1 Marks
If \(A=[a_{ij}]\) is an identity matrix, then which of the following is true ?
(A) \(a_{ij}=\begin{cases}0,&if~i=j\\ 1,&if~i\ne j\end{cases}\)
(B) \(a_{ij}=1,\forall i,j\)
(C) \(a_{ij}=0,\forall i,j\)
(D) \(a_{ij}=\begin{cases}0,&if~i\ne j\\ 1,&if~i=j\end{cases}\)
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#737 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
Let \(A=\begin{bmatrix}a&b\\ c&d\end{bmatrix}\) be a square matrix such that adj \(A=A\) Then, \((a+b+c+d)\) is equal to :
(A) 2a
(B) 2b
(C) 2c
(D) 0
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#736 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
If A and B are two skew symmetric matrices, then \((AB+BA)\) is :
(A) a skew symmetric matrix
(B) a symmetric matrix
(C) a null matrix
(D) an identity matrix
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#735 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
If \(A=\begin{bmatrix}2&0&0\\ 0&3&0\\ 0&0&5\end{bmatrix},\) then \(A^{-1}\) is:
(A) \([\begin{matrix}\frac{1}{2}&0&0\\ 0&3&0\\ 0&0&\frac{1}{5}\end{matrix}]\)
(B) \(30[\begin{matrix}\frac{1}{2}&0&0\\ 0&\frac{1}{3}&0\\ 0&0&\frac{1}{5}\end{matrix}]\)
(C) \(\frac{1}{30}[\begin{matrix}2&0&0\\ 0&3&0\\ 0&0&5\end{matrix}]\)
(D) \(\frac{1}{30}[\begin{matrix}\frac{1}{2}&0&0\\ 0&\frac{1}{3}&0\\ 0&0&\frac{1}{5}\end{matrix}]\)
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#734 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
\(If\begin{bmatrix}a&c&0\\ b&d&0\\ 0&0&5\end{bmatrix}\) is a scalar matrix, then the value of \(a+2b+3c+4d\) is:
(A) 0
(B) 5
(C) 10
(D) 25
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#733 Mathematics Matrices and Determinants
MCQ_SINGLE UNDERSTAND 2024
KNOWLEDGE 1 Marks
Given that \(A^{-1}=\frac{1}{7}\begin{bmatrix}2&1\\ -3&2\end{bmatrix}\) matrix A is
(A) \(7[\begin{matrix}2&-1\\ 3&2\end{matrix}]\)
(B) \([\begin{matrix}2&-1\\ 3&2\end{matrix}]\)
(C) \(\frac{1}{7}[\begin{matrix}2&-1\\ 3&2\end{matrix}]\)
(D) \(\frac{1}{49}[\begin{matrix}2&-1\\ 3&2\end{matrix}]\)
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#731 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
\(If~A=\begin{bmatrix}-2&0&0\\ 1&2&3\\ 5&1&-1\end{bmatrix},\) then the value of | A (adj. A) | is:
(A) 100 I
(B) 10 I
(C) 10
(D) 1000
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#730 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
Given that \([\begin{matrix}1&x\end{matrix}]\begin{bmatrix}4&0\\ -2&0\end{bmatrix}=0,\) the value of x is:
(A) -4
(B) -2
(C) 2
(D) 4
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#729 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024 AISSCE(Board Exam)
KNOWLEDGE 1 Marks
If A is a square matrix of order 3 such that the value of \(|adj\cdot A|=8,\) then the value of \(|A^{T}|\) is:
(A) \(\sqrt{2}\)
(B) \(-\sqrt{2}\)
(C) 8
(D) \(2\sqrt{2}\)
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#728 Mathematics Matrices and Determinants
MCQ_SINGLE APPLY 2024
KNOWLEDGE 1 Marks
If \(\begin{bmatrix}x&2&0\end{bmatrix}\begin{bmatrix}5\\ -1\\ x\end{bmatrix}=\begin{bmatrix}3&1\end{bmatrix}\begin{bmatrix}-2\\ x\end{bmatrix},\) then value of x is:
(A) -1
(B) 0
(C) 1
(D) 2
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