# MCQs Matrix and Determinants 2

Online MCQs about Matrix and Determinants from Mathematics of Intermediate first year.

Multiple Choice Questions about Matrices and Determinant from First Year Mathematics Book for the preparation of Examination and learning matrices in a quicker way.

1. A matrix of order $1\times n$ is called

2. The principal diagonal of a square matrix is also called

3. If $A=[a_{ij}]_{m \times n}$ be a square matrix of order $n$, then $a_{11}, a_{22}, a_{33}, \cdots,$a_{nn}$forms 4. The order of a matrix having$m$rows and$n$columns is 5. If the Matrix$A$has$m$rows and$n$columns such that$m=n$then$A$is called 6. If$|A|=0$then$A$is called 7. Which of the following results is valid 8. Let$A=[a_{ij}]_{m \times n}$is diagonal matrix if 9. If$\begin{bmatrix}=x+3 & 1\\ -3 & 3y-4\end{bmatrix} = \begin{bmatrix}2 &1\\ -3 & 2\end{bmatrix}$then$x$and$y$are 10. Interchanging of rows into columns (or columns into rows) is called 11. The transpose of a matrix$A$is only possible if the matrix is 12. Who used the theory of matrices in linear transformation? 13. Let$A[a_{ij}]_{m\times n}$,$a_{ij}=0 \,\, \forall i\ne j$and$a_{ij} = k(k\ne 0)\,\, \forall i=j$then matrix$A$is called 14. Which of the following results is true for a square matrix? 15. If$A=\begin{bmatrix}-a & -b \\ c & d\end{bmatrix}$then adjoint of$A$16. If$A=\begin{bmatrix} a_{11} & a_{12} & a_{13}\\ a_{21} & a_{22} & a_{23}\\ a_{31} & a_{32} & a_{33}\\ \end{bmatrix}$then the entries of leading diagonal are 17. Let$A=[a_{ij}]_{n \times n}$, if$A_{ij=0\,\, \forall \,\, i\ne j$and$a_{ij} =1\,\, \forall \,\ i=j$then$A$is said to be 18. The word matrix was first used by 19. For equality of two matrices 20. The numbers used in rows or columns of a matrix are called A matrix is a rectangular array of numbers arranged in a sequence and enclosed in brackets. A matrix is a rectangular array of mathematical elements arranged into rows and columns according to algebraic rules. A pair of parentheses$\begin{pmatrix}a&b\\c&d\end{pmatrix}$or a square bracket$\begin{bmatrix}a&b\\c&d\end{bmatrix}$is used to write matrices (plural of matrix). A matrix is usually denoted by capital letters such as$A, B, C,$and$X, Y,$and$Z$. The matrices are used to solve the simultaneous equations. The horizontal lines of elements of a matrix are called rows of the matrix. The vertical lines of elements of a matrix ### MCQs Matrix and Determinants • The word matrix was first used by • A matrix of order$1\times n$is called • The numbers used in rows or columns of a matrix are called • Who used the theory of matrices in linear transformation? • The order of a matrix having$m$rows and$n$columns is • If the Matrix$A$has$m$rows and$n$columns such that$m=n$then$A$is called • For equality of two matrices • The principal diagonal of a square matrix is also called • If$A=[a_{ij}]{m \times n}$be a square matrix of order$n$, then$a{11}, a_{22}, a_{33}, \cdots, $a_{nn}$ forms
• Let $A[a_{ij}]{m\times n}$, $a{ij}=0 \,\, \forall i\ne j$ and $a_{ij} = k(k\ne 0)\,\, \forall i=j$ then matrix $A$ is called
• If $A=\begin{bmatrix} a_{11} & a_{12} & a_{13}\ a_{21} & a_{22} & a_{23}\ a_{31} & a_{32} & a_{33}\ \end{bmatrix}$ then the entries of leading diagonal are
• Let $A=[a_{ij}]{n \times n}$, if $a_{ij}=0\,\, \forall \,\, i\ne j$ and $a_{ij} =1\,\, \forall \,\ i=j$ then $A$ is said to be
• Interchanging of rows into columns (or columns into rows) is called
• The transpose of a matrix $A$ is only possible if the matrix is
• If $|A|=0$ then $A$ is called
• Which of the following results is true for a square matrix?
• If $A=\begin{bmatrix}-a & -b \ c & d\end{bmatrix}$ then adjoint of $A$
• If $\begin{bmatrix}=x+3 & 1\ -3 & 3y-4\end{bmatrix} = \begin{bmatrix}2 &1\ -3 & 2\end{bmatrix}$ then $x$ and $y$ are
• Let $A=[a_{ij}]_{m \times n}$ is diagonal matrix if
• Which of the following results is valid

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