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JEE Main Determinants — practice questions — page 4

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 91–120 of 132.

The determinant of a matrix may be a number that is:Read the answer and worked solution →The signed minor of an element is written using which letter:Read the answer and worked solution →Which of these is worked out first, before the cofactor?Read the answer and worked solution →The adjoint of a matrix is assembled out of its:Read the answer and worked solution →Determinants take each square matrix to exactly how many values?Read the answer and worked solution →True or false on determinantsRead the answer and worked solution →Quick picks on determinantsRead the answer and worked solution →Match each term to its meaningRead the answer and worked solution →Has a determinant or notRead the answer and worked solution →Determinant use or notRead the answer and worked solution →From matrix to inverseRead the answer and worked solution →Fill the gaps on determinantsRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →A matrix is an ordered rectangular array of numbers or:Read the answer and worked solution →The numbers or functions inside a matrix are called its:Read the answer and worked solution →A matrix is arranged as an array that is:Read the answer and worked solution →A matrix with only one column is called a:Read the answer and worked solution →A matrix with only one row is called a:Read the answer and worked solution →A matrix with equal numbers of rows and columns is called:Read the answer and worked solution →A square matrix of order n has rows numbering:Read the answer and worked solution →A diagonal matrix whose diagonal entries are all equal is called:Read the answer and worked solution →A square matrix with ones on the diagonal and zeros elsewhere is the:Read the answer and worked solution →The identity matrix of order n is denoted by the letter:Read the answer and worked solution →A scalar matrix becomes an identity matrix when its diagonal entries equal:Read the answer and worked solution →Every identity matrix is clearly also a matrix that is:Read the answer and worked solution →For two matrices to be equal, they must first have the same:Read the answer and worked solution →Equal matrices have each element of one equal to the corresponding element of the:Read the answer and worked solution →Interchanging the rows and columns of a matrix gives its:Read the answer and worked solution →The transpose of matrix A is denoted by A with a prime or by A raised to:Read the answer and worked solution →A square matrix equal to its own transpose is called:Read the answer and worked solution →

Worked practice questions

The determinant of a matrix may be a number that is:

  1. Textual
  2. Matrix
  3. Vector
  4. Complex
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Correct answer: D. Complex

1. Entries of a matrix may themselves be complex numbers. 2. The determinant is built from those entries. 3. So it may be real or complex. _Source: syllabus Mathematics Part I, Chapter 4, Determinants._

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The signed minor of an element is written using which letter:

  1. A
  2. M
  3. D
  4. T
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Correct answer: A. A

1. The minor of an element is written with one letter. 2. The cofactor is written with a different one. 3. The cofactor is denoted by A with subscripts. _Source: syllabus Mathematics Part I, Chapter 4, Determinants._

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Which of these is worked out first, before the cofactor?

  1. The system
  2. The minor
  3. The adjoint
  4. The inverse
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Correct answer: B. The minor

1. The cofactor is the minor with a sign attached. 2. So the minor has to exist before the cofactor can. 3. The minor is worked out first. _Source: syllabus Mathematics Part I, Chapter 4, Determinants._

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