# MCQs Matrices and Determinants 3

Online MCQs Matrices and Determinants from Intermediate Mathematics Part-1.

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. An inverse of a matrix exists if it is

2. $(AB)^t$ is equal to

3. If Adjoint of $A=\begin{bmatrix} -1&-2 \\ 3 & 4 \end{bmatrix}$ then matrix $A=$

4. If A+B=B+A=0$then$B$is called 5. For any two matrices$A$and$B$,$(A+B)^t$is equal to 6. If$A$is a non-singular matrix then$A^{-1}$7. For any square matrix$A=\begin{bmatrix} a & b \\ c & d \end{bmatrix}$,$|A|$is equal to 8. If$A$is of order$2\times 4$and$B$of order$4\times 2$then order of$AB$9. If$A=[-7]$then$|A|$is equal to 10. Let$A$be any matrix and$n$is an integer then$A+A+A+\cdots+$to$n$terms 11. If$A$is a matrix of order$m\times n$and$B$is a matrix of order$n\times q$, then order of$AB$is 12. If$[a_{ij}]=A$and$[b_{ij}]=B$then$A=B$if and only if 13. If$AB=BA$then which one is true 14. If$A$is of order$2\times 3$and$B$of order$4\times 2$then order of$BA$15. If$AX=B$then$X$is equal to 16. If$A$is any square matrix of order 3, then$|kA|$is equal to 17. Two matrix$A$and$B$are conformable for multiplication$AB$if 18. If$A$is any square matrix and$AB=BA=I$then$B$is called 19. Which of the property does not hold in matrix multiplication? 20.$(kAB)^t=$A matrix is a rectangular array of numbers arranged in a sequence and enclosed in brackets. A matrix is a rectangular array of mathematical elements arranged into rows and columns according to algebraic rules. A pair of parentheses$\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$. The matrices are used to solve the simultaneous equations. The horizontal lines of elements of a matrix are called rows of the matrix. The vertical lines of elements of a matrix are called the columns of a matrix. The number of rows and columns of a matrix is called the order of the matrix. ### MCQs Matrices and Determinants • If$[a_{ij}]=A$and$[b_{ij}]=B$then$A=B$if and only if • For any two matrices$A$and$B$,$(A+B)^t$is equal to •$(AB)^t$is equal to •$(kAB)^t=$• Let$A$be any matrix and$n$is an integer then$A+A+A+\cdots+$to$n$terms • Two matrix$A$and$B$are conformable for multiplication$AB$if • If$A$is a matrix of order$m\times n$and$B$is a matrix of order$n\times q$, then order of$AB$is • If$A$is of order$2\times 4$and$B$of order$4\times 2$then order of$AB$• If$A$is of order$2\times 3$and$B$of order$4\times 2$then order of$BA$• If$AB=BA$then which one is true • For any square matrix$A=\begin{bmatrix} a & b \ c & d \end{bmatrix}$,$|A|$is equal to • If$A=[-7]$then$|A|$is equal to • If$A$is any square matrix of order 3, then$|kA|$is equal to • If$A$is any square matrix and$AB=BA=I$then$B$is called • If A+B=B+A=0$ then $B$ is called
• If Adjoint of $A=\begin{bmatrix} -1&-2\\3 & 4 \end{bmatrix}$ then matrix $A=$
• If $A$ is a non-singular matrix then $A^{-1}$
• If $AX=B$ then $X$ is equal to
• An inverse of a matrix exists if it is
• Which of the property does not hold in matrix multiplication?

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