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GATE ME Matrices — practice questions

Explore 28 free Matrices questions in GATE ME 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 1–28 of 28.

Match the matrix property to its definitionRead the answer and worked solution →Order the steps to find the inverse of a 2×2 matrixRead the answer and worked solution →Match the matrix type to its shorthandRead the answer and worked solution →Match each kind of matrix to its conditionRead the answer and worked solution →Sort each matrix by its shapeRead the answer and worked solution →Tap every matrix that must be squareRead the answer and worked solution →Complete the definition of a matrixRead the answer and worked solution →When is a product defined?Read the answer and worked solution →True or false: transposesRead the answer and worked solution →Symmetric or skew symmetric?Read the answer and worked solution →True or false: matrix algebraRead the answer and worked solution →Complete the equality conditionRead the answer and worked solution →Order the steps: is AB defined, and what order is it?Read the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Special square matricesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Tap every statement true of the identity matrixRead the answer and worked solution →Flip and pair: notation with meaningRead the answer and worked solution →True or false: inversesRead the answer and worked solution →Complete the scalar multiplication rulesRead the answer and worked solution →Which operation needs matching orders?Read the answer and worked solution →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

Match the matrix property to its definition

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Matching pairs
  1. Left
    Symmetric matrix
    Right
    A = Aᵀ
  2. Left
    Skew-symmetric
    Right
    A = −Aᵀ
  3. Left
    Identity matrix
    Right
    I with 1s on diagonal
  4. Left
    Orthogonal matrix
    Right
    AAᵀ = I
  5. Left
    Singular matrix
    Right
    det(A) = 0

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Order the steps to find the inverse of a 2×2 matrix

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Steps
  1. Compute the determinant det(A) = ad − bc
  2. Check det(A) ≠ 0 (otherwise no inverse exists)
  3. Swap the diagonal entries: a ↔ d
  4. Negate the off-diagonal entries: b → −b, c → −c
  5. Divide the resulting matrix by det(A)

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Match the matrix type to its shorthand

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Matching pairs
  1. A
    Diagonal matrix
    B
    All off-diagonal entries 0
  2. A
    Upper triangular
    B
    All entries below diagonal are 0
  3. A
    Lower triangular
    B
    All entries above diagonal are 0
  4. A
    Scalar matrix
    B
    Diagonal with equal entries

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More Mathematics topics

AlgebraLimits and ContinuityLinear ProgrammingMathematicsMatrices and Determinants