Matrices and Determinants

The post is about Online MCQS about Matrices and Determinants quiz with answers. The quiz contains 20 multiple-choice questions about matrices and determinants from Chapter 3 of First-Year Mathematics. Let us start with the Matrices and Determinants Quiz.

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. For the matrix $A=[a_{ij}]_{n\times n}$, the elements $a_{1n}, a_{2n-1}, a_{3n-2}, a_{4n-3}, \cdots, a_{n1}$ form

 Principal Diagonal

 Secondary Diagonal

 Main Diagonal

 Leading Diagonal

2. The element $a_{ij}$ of any matrix $A$ is present in

 (i-j)th row and column

 ith column and jth row

 (i+j)th row and column

 ith row and jth column

3. If any Matrix $A$ has different numbers of rows and columns, then matrix $A$ is

 Rectangular Matrix

 Square Matrix

 Row Matrix

 Column Matrix

4. The verticle lines of numbers in a matrix are called

 Rows

 Column Matrix

 Columns

 Row Matrix

5. For the square matrix $A=[a_{ij}]_{n\times n}$, the elements $a_{11}, a_{22}, \cdots, \_{nn}$ are

 Central Column

 Secondary Diagonal

 Central Row

 Principal Diagonal or Leading Diagonal

6. Any matrix of order $1\times n$ is called

 Rectangular Matrix

 Row Matrix

 Column Matrix

 Square Matrix

7. Two matrices $A$ and $B$ are said to be conformable for addition if

 Rows of $A$ = Columns of $B$

 Order of $A$=Order of $B$

 Number of Rows in $B$ equals the Number of Columns in A

 Number of Columns in $A$ equals the Number of Rows in $B$

8. For the square matrix $A=[a_{ij}]$, if all $a_{ij}=0, i\ne j$ and all $a_{ij}=k$ (non-zero) for $i=j$, then matrix $A$ is called

 Null Matrix

 Identity Matrix

 Diagonal Matrix

 Scalar Matrix

9. The horizontal lines of numbers in a matrix are called

 Row Matrix

 Column

 Rows

 Column Matrix

10. If any matrix $A$ has only one column, then it is called

 Column Matrix

 Row Matrix

 Rectangular Matrix

 Square Matrix

11. If a matrix $A$ has $m$ rows and $n$ column, then order of $A$ is

 $n\times m$

 $m+n$

 $m^n$

 $m\times n$

12. A rectangular array of numbers enclosed by a pair of brackets is called a

 Column

 Determinant

 Matrix

 Row

13. The matrix $[6]$ is

 All of These

 Row Matrix

 Column Matrix

 Square Matrix

14. If all off-diagonal elements are zeros and at least one of the leading diagonals is non-zero, then the matrix is called

 Diagonal Matrix

 Scalar Matrix

 Identity Matrix

 Null Matrix

15. If matrix $A$ is of order $m\times n$, then the matrix of order $n\times m$ is called

 Transpose of $A$

 Main Diagonal of $A$

 Echelon Form of $A$

 The Inverse of $A$

16. Any matrix $A$ is called real if all $a_{ij}$ are

 1

 Real Numbers

 0

 Imaginary Numbers

17. If a matrix $A$ has the same number of rows and columns, then Matrix $A$ is called

 Square Matrix

 Row Matrix

 Rectangular Matrix

 Column Matrix

18. Any matrix of order $m\times 1$ is called

 Row Matrix

 Rectangular Matrix

 Square Matrix

 Column Matrix

19. For the square matrix $A=[a_{ij}]$, if all $a_{ij}=0, i\ne j$ and at least one $a_{ii}\ne 0, i=j$, then $A$ matrix is called

 Diagonal Matrix

 Null Matrix

 Identity Matrix

 Scalar Matrix

20. If any matrix $A$ has only one row, then it is called

 Row Matrix

 Rectangular Matrix

 Column Matrix

 Square Matrix

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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.

Online MCQs Matrices and Determinants

• A rectangular array of numbers enclosed by a pair of brackets is called a
• The horizontal lines of numbers in a matrix are called
• The verticle lines of numbers in a matrix are called
• If a matrix $A$ has $m$ rows and $n$ column, then order of $A$ is
• The element $a_{ij}$ of any matrix $A$ is present in
• Any matrix $A$ is called real if all $a_{ij}$ are
• If any matrix $A$ has only one row, then it is called
• If any matrix $A$ has only one column, then it is called
• If a matrix $A$ has the same number of rows and columns, then Matrix $A$ is called
• If any Matrix $A$ has different numbers of rows and columns, then matrix $A$ is
• Any matrix of order $m\times 1$ is called
• Any matrix of order $1\times n$ is called
• For the square matrix $A=[a_{ij}]{n\times n}$, the elements $a{11}, a_{22}, \cdots, _{nn}$ are
• For the matrix $A=[a_{ij}]{n\times n}$, the elements $a{1n}, a_{2n-1}, a_{3n-2}, a_{4n-3}, \cdots, a_{n1}$ form
• For the square matrix $A=[a_{ij}]$, if all $a_{ij}=0, i\ne j$ and at least one $a_{ii}\ne 0, i=j$, then $A$ matrix is called
• For the square matrix $A=[a_{ij}]$, if all $a_{ij}=0, i\ne j$ and all $a_{ij}=k$ (non-zero) for $i=j$, then matrix $A$ is called
• If all off-diagonal elements are zeros and at least one of the leading diagonals is non-zero, then the matrix is called
• The matrix $[6]$ is
• If matrix $A$ is of order $m\times n$, then the matrix of order $n\times m$ is called
• Two matrices $A$ and $B$ are said to be conformable for addition if

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