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Indian Navy SSR (Sailor) Matrices — practice questions

Explore 28 free Matrices questions in Indian Navy SSR (Sailor) 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.

The element a_23 of a matrix is located at:Read the answer and worked solution →If $A$ is a matrix of order $m\times n$, then its transpose $A'$ has order:Read the answer and worked solution →If $A$ is of order $2\times3$ and $B$ is of order $3\times4$, then $AB$ has order: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

The element a_23 of a matrix is located at:

  1. Row 2, column 3
  2. Row 3, column 2
  3. Diagonal
  4. Top-right corner
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Correct answer: A. Row 2, column 3

By convention, a_ij denotes element in row i and column j. **So a_23 is row 2, column 3.**

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If $A$ is a matrix of order $m\times n$, then its transpose $A'$ has order:

  1. $n\times m$
  2. $m\times m$
  3. $m\times n$
  4. $n\times n$
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Correct answer: A. $n\times m$

Transposing swaps rows and columns, so an m×n matrix becomes n×m.

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If $A$ is of order $2\times3$ and $B$ is of order $3\times4$, then $AB$ has order:

  1. $3\times3$
  2. not defined
  3. $2\times4$
  4. $4\times2$
Show answer and solution

Correct answer: C. $2\times4$

Inner dimensions match (3=3); the product takes the outer dimensions: 2×4.

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