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UP Board Class 12 Matrices — practice questions — page 2

Explore 35 free Matrices questions in UP Board Class 12 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Matrices questions and exercises with answers

Showing questions 31–35 of 35.

Spot the odd one outRead the answer and worked solution →Reading the definitions backRead the answer and worked solution →Assertion and reason: structureRead the answer and worked solution →Order the steps: test whether A is symmetricRead the answer and worked solution →True or false: orders and shapesRead the answer and worked solution →

Worked practice questions

Spot the odd one out

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Questions
  1. Items
    1. Row matrix
    2. Determinant
    3. Column matrix
    Odd item
    Determinant
  2. Items
    1. Diagonal
    2. Scalar
    3. Rectangular
    4. Identity
    Odd item
    Rectangular
  3. Items
    1. AB = BA
    2. A + B = B + A
    3. k(A + B) = kA + kB
    Odd item
    AB = BA
Each group is one summary bullet. Source: syllabus Maths Part I, Ch 3 Matrices.

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Reading the definitions back

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Questions
  1. Question
    A matrix with one row is a
    Choices
    1. row matrix
    2. column matrix
    3. square matrix
    Correct choice
    row matrix
  2. Question
    A square matrix satisfies
    Choices
    1. m > n
    2. m = n
    3. m = 1
    Correct choice
    m = n
  3. Question
    A symmetric matrix satisfies
    Choices
    1. A′ = −A
    2. A′ = I
    3. A′ = A
    Correct choice
    A′ = A
  4. Question
    The transpose of an m × n matrix has order
    Choices
    1. n × m
    2. m × n
    3. n × n
    Correct choice
    n × m
Straight recall of the taxonomy. Source: syllabus Maths Part I, Ch 3 Matrices.

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Assertion and reason: structure

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Questions
  1. Reason
    The chapter states this decomposition explicitly.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Any square matrix splits into a symmetric and a skew symmetric part.
  2. Reason
    Addition works entry by entry, so the entries must correspond.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Adding two matrices requires the same order.
  3. Reason
    The inverse of a matrix is unique.
    Verdict
    Both are true; the reason does not explain the assertion.
    Assertion
    The transpose swaps rows and columns.
The last round has two true halves that do not explain each other. Source: syllabus Maths Part I, Ch 3 Matrices.

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