## 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. If $A$ is of order $2\times 4$ and $B$ of order $4\times 2$ then order of $AB$

2. If $A$ is any square matrix and $AB=BA=I$ then $B$ is called

3. If $A$ is any square matrix of order 3, then $|kA|$ is equal to

4. For any two matrices $A$ and $B$, $(A+B)^t$ is equal to

5. An inverse of a matrix exists if it is

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

7. If $AX=B$ then $X$ is equal to

8. Which of the property does not hold in matrix multiplication?

9. If $A$ is of order $2\times 3$ and $B$ of order $4\times 2$ then order of $BA$

10. If A+B=B+A=0$then$B$is called 11.$(kAB)^t=$12. If$AB=BA$then which one is true 13. If$A$is a non-singular matrix then$A^{-1}$14. If$A=[-7]$then$|A|$is equal to 15. Let$A$be any matrix and$n$is an integer then$A+A+A+\cdots+$to$n$terms 16. If$[a_{ij}]=A$and$[b_{ij}]=B$then$A=B$if and only if 17. If$A$is a matrix of order$m\times n$and$B$is a matrix of order$n\times q$, then order of$AB$is 18.$(AB)^t$is equal to 19. Two matrix$A$and$B$are conformable for multiplication$AB$if 20. For any square matrix$A=\begin{bmatrix} a & b \\ c & d \end{bmatrix}$,$|A|$is equal to A matrix is a rectangular array of numbers arranged in a sequence and enclosed in brackets. A matrix is a rectangular array of mathematical elements arranged into rows and columns according to algebraic rules. A pair of parentheses$\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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## MCQs Matrix and Determinants 2

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

Please go to MCQs Matrix and Determinants 2 to view the test

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}$is diagonal matrix if • Which of the following results is valid Take another test about MCQs on Sequence and Series Visit and Learn R Programming Language ## Sequence and Series Quizzes This post is about all the Online Quizzes related to Sequence and Series from the Mathematics Book of Part I (First Year). Click the links below to start with Online MCQs Sequence and Series Quizzes. A sequence is an ordered set of numbers formed according to some definite rule. A sequence can be defined as a function whose domain is a subset of natural numbers. Mathematically, a sequence is denoted by$\{a_n\}$where$n\in N$. Some examples of sequence are: •$1,2,3,\cdots$•$2, 4, 6, 8, \cdots$•$\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$The term$a_n$is called the general term or$n$th term of a sequence. If all numbers of a sequence are real numbers then it is called a real sequence. If the domain of a sequence is a finite set, then the sequence is finite otherwise the sequence is infinite. An infinite sequence has no last term. If the terms of a sequence follow a certain pattern, then it is called a progression: • Arithmetic Progression (AP) A sequence$\{a_n\}$is an Arithmetic Sequence or Arithmetic Progression if the difference$a_n – a_{n-1}$is the same for all$n \in N$and$n>1$. • Geometric Progression (GP) A sequence$\{a_n\}$in which$\frac{a_n}{a_{n-1}}$is same non-zero number for al l$n\in N$and$n>1$is called Geometric Sequence or Geometric Progression. • Harmonic Progression (HP) A Harmonic Progression is a sequence of numbers whose reciprocals form an Arithmetic Progression. A general form of Harmonic Progression is$\frac{1}{a_1}, \frac{1}{a_1+d}, \frac{1}{a_1+2d}, \cdots$, where$a_n=\frac{1}{a_1+(n-1)d}$An online quiz about Computer ## Matrices and Determinants Quiz The post is about Online MCQS about Matrices and Determinants Quiz. Click the link below to take the matrices and determinants quiz. 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.

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