NET Mathematics Practice MCQs Chapter 3


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Math Ch 3 Matrices and Determinants

NET Practice Test

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

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Inverse of a matrix exists if it is:

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If A is symmetric (Skew symmetric), then ?^?
must be

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The horizontal lines of numbers in a matrix are called:

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For any matrix A , it is always true that

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

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

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The value of ? for which the system ? + ?? = ?; ?? + ?? = โˆ’? does not possess the unique
solution

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

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

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

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53. The inverse of unit matrix is:

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52. If the system ? + ?? = ?; ?? + ?? = ? has non-trivial solution, then ? is:

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. If A is any square matrix then ? + ?^?
is a

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The matrix [๐Ÿ•] is :

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

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

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Which of the property does not hold matrix multiplication?

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For the square matrix ๐‘จ = [๐’‚๐’Š๐’‹]๐’ร—๐’ then ๐’‚๐Ÿ๐Ÿ, ๐’‚๐Ÿ๐Ÿ, ๐’‚๐Ÿ‘๐Ÿ‘โ€ฆ๐’‚๐’๐’ are:

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If a matrix of order ? ร— ? then the matrix of order ? ร— ? is :

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Which of the following Sets is a field.

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. If A is any square matrix then ? โˆ’ ?^?
is a

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54. Transpose of a row matrix is:

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

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If ?? = ? then ? is equal to:
(a) ?? (b) โœ” ?
โˆ’1? (c) ?
โˆ’1? (d) ??

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

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The vertical lines of numbers in a matrix are called:

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

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

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

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Which of the following Sets is not a field.

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If order of ? is ? ร— ? and order of B is ? ร— ? then order of AB is
(a) ? ร— ? (b) ? ร— ? (d) ? ร— ? (d) โœ”? ร— ๏ฟฝ

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

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Any matrix A is called singular if:

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The element ๐’‚๐’Š๐’‹ of any matrix A is present in:

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

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For a square matrix ? = [???]if all ??? = ?, ? โ‰  ? and at least ??? โ‰  ?, ? = ? then A is called:

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If all entries of a square matrix of order ? is multiplied by ?, then value of |??| is equal to:

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Let A be a matrix and ? is an integer then ? + ? + ? + โ‹ฏ to ? terms

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For a square matrix ? = [???]if all ??? = ?, ? โ‰  ? and all ??? = ?(??? โˆ’ ????) for ? = ? then A is called:

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

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If ?? = ? then ? =

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The average score is 65%

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