Mathematics MCQs Chapter 3

Created on January 21, 2022

Math Ch 3 Matrices and Determinants

NET Practice Test

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6

4

8

2

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b

c

a

d

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4. If a matrix A has ? rows and ? columns , then order of A is :

? × ?

??

? + ?

? × ?

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For any matrix A , it is always true that

– ? = ?̅

?^−1 = 1/A

? = ?^?

|?| = |?^?|

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c

d

b

a

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A rectangular array of numbers enclosed by a square brackets is called:

Determinant

Matrix

Row

Column

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If a matrix A has same number of rows and columns then A is called:

Row vector

square matrix

Rectangular matrix

Column vector

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b

d

c

a

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If a matrix A has different number of rows and columns then A is called:

Column vector

Row vector

square matrix

Rectangular matrix

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10. If a matrix A has different number of rows and columns then A is called:

Row vector

square matrix

Column vector

Rectangular matrix

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A rectangular array of numbers enclosed by a square brackets is called:

Column

Matrix

Determinant

Row

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If the system of linear equations have no solution at all, then it is called a/an

Non Trivial System

Inconsistent system

Trivial System

Consistent system

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d

c

b

a

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The vertical lines of numbers in a matrix are called:

Rows

Row matrix

Column matrix

Columns

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6. A matrix A is called real if all ??? are

0

Real numbers

1

complex numbers

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Which of the property does not hold matrix multiplication?

Closure

Commutative

Inverse

Associative

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c

d

b

a

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8. If a matrix A has only one column then it is called:

Rectangle matrix

Column vector

square matrix

Row vector

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The vertical lines of numbers in a matrix are called:

Columns

Rows

Row matrix

Column matrix

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If order of ? is ? × ? and order of B is ? × ? then order of AB is

? × ?

? × q

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13. For a square matrix ? = [???]if all ??? = ?, ? ≠ ? and at least ??? ≠ ?, ? = ? then A is called:

Diagonal matrix

None

Null matrix

Scalar Matrix

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54. Transpose of a row matrix is:

scalar matrix

column matrix

zero matrix

Diagonal matrix

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b

a

c

d

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53. The inverse of unit matrix is:

Unit

Skew Symmetri

rectangular

Singular

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a

c

b

d

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b

c

a

d

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14. The matrix [?] is :

Square matrix

row matrix

column matrix

all of these

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Let A be a matrix and ? is an integer then ? + ? + ? + ⋯ to ? terms

??

?^?

? + ?

? − ?

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5. The element ??? of any matrix A is present in:

??ℎ row and ??ℎ column

??ℎ column and ??ℎ row

(? + ?)?ℎ row and column

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For the square matrix ? = [???]?×? then ???, ???, ???…??? are:

proceding diagonal

secondary diagonal

primary diagonal

Main diagonal

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. The multiplicative inverse of a matrix exist only if it is:

Singular

non singular

any matrix of order ? ×n

null matrix

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. The additive inverse of a matrix exist only if it is:

null matrix

Singular

non singular

any matrix of order ? × n

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The horizontal lines of numbers in a matrix are called:

Rows

Columns

Row matrix

Column matrix

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11. For the square matrix ? = [???]?×? then ???, ???, ???…??? are:

Main diagonal

secondary diagonal

proceding diagonal

primary diagonal

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For any two matrices A and B ,(? + ?)^? =

?^?.?^?

?^? + ?^?

?^?.?^?

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The main diagonal elements of a skew hermitian matrix must be:

0

any complex number

any non-zero number

1

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The element ??? of any matrix A is present in:

? ?ℎ column and ? ?ℎ row

(? + ?)?ℎ row and column

? ?ℎ row and ? ?ℎ column

(? + ?)?ℎ row and column

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The number of non zero rows in echelon form of a matrix is called:

Rank of matrix

leading

leading row

Order of matrix

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b

d

c

a

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c

a

b

d

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12. For a square matrix ? = [???]if all ??? = ?, ? ≠ ? and all ??? = ?(??? − ????) for ? = ? then
A is called:

Null matrix

Scalar Matrix

Diagonal matrix

None

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d

b

c

a

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Any matrix A is called singular if:

|?| ≠ 0

? ^? = ?

|?| = 0

??^−1 = ?

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Which of the following Sets is not a field.

Z

Q

R

C

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The matrix [?] is :

Square matrix

all of these

column matrix

row matrix

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The horizontal lines of numbers in a matrix are called:

Column matrix

Columns

Row matrix

Rows

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9. If a matrix A has same number of rows and columns then A is called:

Rectangular matrix

Row vector

Column vector

square matrix

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Inverse of a matrix exists if it is:

Non-singular

Null

Singular

Rectangular

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a

d

c

b

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The main diagonal elements of a skew symmetric matrix must be:

any non-zero number

any complex number

0

1

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7. If a matrix A has only one row then it is called:

Column vector

Row vector

Rectangle matrix

square matrix

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Which of the following Sets is a field.

Q

all of these

C

R

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. If a matrix of order ? × ? then the matrix of order ? × ? is :

Transpose of A

Adjoint of A

Inverse of A

Main diagonal of A

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In a homogeneous system of linear equations , the solution (0,0,0) is:

Trivial solution

exact solution

non trivial solution

anti symmetric

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In echelon form of matrix, the first non zero entry is called:

Diagonal entry

Leading entry

preceding entry

first entry

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If a matrix A has only one row then it is called:

Rectangle matrix

square matrix

Row vector

Column vector

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If a matrix A has only one column then it is called:

Column vector

Rectangle matrix

square matrix

Row vector

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