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Indian Navy INET Matrices — practice questions

Explore 28 free Matrices questions in Indian Navy INET 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.

If A is 3×4 and B is 4×2, dimensions of AB:Read the answer and worked solution →The transpose of $A^T$ is:Read the answer and worked solution →Matrix multiplication 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 →

Worked practice questions

If A is 3×4 and B is 4×2, dimensions of AB:

  1. 3×2
  2. 2×3
  3. 4×4
  4. Cannot multiply
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Correct answer: A. 3×2

**For AB:** middle dimensions (cols of A and rows of B) must match (both 4 here). **Result has outer dimensions:** 3 rows × 2 columns = 3×2.

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The transpose of $A^T$ is:

  1. $A$, since transposing twice returns the original on chart
  2. $A^{-1}$, the inverse of the matrix on the school chart
  3. $-A$, the negative of the original matrix here always
  4. $2A$, twice the matrix value on the school chart here
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Correct answer: A. $A$, since transposing twice returns the original on chart

$(A^T)^T = A$, transposing twice returns the original.

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Matrix multiplication is:

  1. Associative + distributive, NOT commutative in general
  2. Always commutative for any square matrix size
  3. Never associative under any circumstance
  4. Commutative for diagonal matrices only, anywhere
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Correct answer: A. Associative + distributive, NOT commutative in general

Matrix multiplication is associative (AB)C = A(BC) and distributive A(B+C) = AB + AC. **But it is NOT generally commutative:** AB ≠ BA. Diagonal matrices commute with each other identity commutes with everything.

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Probability & StatisticsSequences and SeriesBinomial TheoremGeometrySequencesVectors & 3D GeometryPermutations and CombinationsLinear Programming