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Indian Navy SSR Matrices and Determinants — practice questions

Explore 48 free Matrices and Determinants questions in Indian Navy SSR Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Matrices and Determinants questions and exercises with answers

Showing questions 1–30 of 48.

Identity matrix I has:Read the answer and worked solution →Determinant of identity matrix I_n:Read the answer and worked solution →The angle 90° in radians is:Read 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 →Complete the arc length relationRead the answer and worked solution →Match each identity to its nameRead the answer and worked solution →

Worked practice questions

Identity matrix I has:

  1. 1s on diagonal, 0s elsewhere; AI = A for any A
  2. All 1s except diagonal
  3. All zeros
  4. All 1s
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Correct answer: A. 1s on diagonal, 0s elsewhere; AI = A for any A

Identity matrix I_n: square n × n with 1's on diagonal, 0's off-diagonal. **For any compatible A:** AI = A = IA. Multiplicative identity for matrices.

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Determinant of identity matrix I_n:

  1. n
  2. 2n
  3. 1
  4. 0
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Correct answer: C. 1

|I_n| = product of 1's on diagonal = 1.

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The angle 90° in radians is:

  1. $\pi$ (full half-circle)
  2. $2\pi$ (full circle)
  3. $\pi/2$ (quarter circle)
  4. $\pi/4$ (one eighth)
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Correct answer: C. $\pi/2$ (quarter circle)

180° = π radians. So 90° = π/2 radians. Quarter of a full circle (2π).

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