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JEE Main Determinants — practice questions — page 5

Explore 132 free Determinants questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Determinants questions and exercises with answers

Showing questions 121–132 of 132.

A square matrix whose transpose equals its negative is called:Read the answer and worked solution →Every diagonal element of a skew symmetric matrix is:Read the answer and worked solution →Symmetric and skew symmetric matrices are both required to be:Read the answer and worked solution →The topic that classifies row, column and square matrices is about the:Read the answer and worked solution →True or false on matricesRead the answer and worked solution →Quick picks on matricesRead the answer and worked solution →Match each matrix type to its ruleRead the answer and worked solution →Symmetric or skew symmetricRead the answer and worked solution →Square or notRead the answer and worked solution →Test two matrices for equalityRead the answer and worked solution →Fill the gaps on matricesRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →

Worked practice questions

A square matrix whose transpose equals its negative is called:

  1. Skew symmetric
  2. Plain symmetric
  3. Purely diagonal
  4. Purely scalar
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Correct answer: A. Skew symmetric

1. Here the transpose flips the sign of every entry. 2. Entry ij equals minus entry ji. 3. Such a matrix is skew symmetric. _Source: syllabus Mathematics Part I, Chapter 3, Matrices._

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Every diagonal element of a skew symmetric matrix is:

  1. Nine
  2. Zero
  3. Four
  4. Five
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Correct answer: B. Zero

1. A diagonal entry must equal its own negative. 2. Only one number satisfies that. 3. So all diagonal elements are zero. _Source: syllabus Mathematics Part I, Chapter 3, Matrices._

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Symmetric and skew symmetric matrices are both required to be:

  1. Row type
  2. Column
  3. Square
  4. Oblong
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Correct answer: C. Square

1. Both definitions compare a matrix with its transpose. 2. That comparison needs the two to have the same order. 3. So the matrix must be square. _Source: syllabus Mathematics Part I, Chapter 3, Matrices._

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More Mathematics topics

Statistics and ProbabilityVector Algebra and 3D GeometryContinuity, Differentiability & DerivativesDifferential EquationsIntegrals and ApplicationsMatrices and DeterminantsRelations, Functions & Inverse TrigonometryStraight Lines and Conic Sections