Mathematics MCQs Chapter 3

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Created on January 21, 2022

Math Ch 3 Matrices and Determinants

NET Practice Test

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

?^?.?^?

?^? + ?^?

?^?.?^?

?^? + ?^?

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

Trivial solution

exact solution

anti symmetric

non trivial solution

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

None

Diagonal matrix

Scalar Matrix

Null matrix

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

square matrix

Rectangle matrix

Column vector

Row vector

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Which of the property does not hold matrix multiplication?

Commutative

Inverse

Closure

Associative

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

any matrix of order ? × n

null matrix

Singular

non singular

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

Rectangle matrix

square matrix

Column vector

Row vector

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

? × ?

? + ?

? × ?

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

any complex number

any non-zero number

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

Main diagonal

secondary diagonal

proceding diagonal

primary diagonal

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Which of the following Sets is not a field.

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

(? + ?)?ℎ row and column

? ?ℎ row and ? ?ℎ column

? ?ℎ column and ? ?ℎ row

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

Order of matrix

leading row

Rank of matrix

leading

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

Main diagonal of A

Inverse of A

Transpose of A

Adjoint of A

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

Real numbers

complex numbers

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The horizontal lines of numbers in a matrix are called:

Row matrix

Column matrix

Columns

Rows

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

Rectangular matrix

Column vector

Row vector

square matrix

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The vertical lines of numbers in a matrix are called:

Column matrix

Row matrix

Columns

Rows

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The horizontal lines of numbers in a matrix are called:

Column matrix

Rows

Row matrix

Columns

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

Rectangular matrix

Column vector

square matrix

Row vector

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

Diagonal matrix

Scalar Matrix

None

Null matrix

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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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53. The inverse of unit matrix is:

Unit

Singular

Skew Symmetri

rectangular

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Which of the following Sets is a field.

all of these

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

Determinant

Matrix

Row

Column

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14. The matrix [?] is :

row matrix

column matrix

all of these

Square matrix

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

any complex number

any non-zero number

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The vertical lines of numbers in a matrix are called:

Rows

Row matrix

Column matrix

Columns

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

square matrix

Column vector

Rectangular matrix

Row vector

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

Consistent system

Non Trivial System

Inconsistent system

Trivial System

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

Rectangle matrix

Column vector

square matrix

Row vector

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54. Transpose of a row matrix is:

column matrix

scalar matrix

Diagonal matrix

zero matrix

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

Determinant

Matrix

Row

Column

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

? − ?

? + ?

?^?

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

Leading entry

first entry

Diagonal entry

preceding entry

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Inverse of a matrix exists if it is:

Null

Singular

Non-singular

Rectangular

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For any matrix A , it is always true that

|?| = |?^?|

– ? = ?̅

? = ?^?

?^−1 = 1/A

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Any matrix A is called singular if:

|?| = 0

|?| ≠ 0

??^−1 = ?

? ^? = ?

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