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CUET UG Matrices and Determinants — practice questions

Explore 19 free Matrices and Determinants questions in CUET UG 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 1–19 of 19.

If A and B are non-singular of the same order, then AB is:Read the answer and worked solution →For a 2 by 2 matrix with A = 2B, det A is det B times:Read the answer and worked solution →If A = kB for square matrices of order n, then det A equals:Read the answer and worked solution →Since area is positive, we take which value of the determinant?Read the answer and worked solution →Three points are collinear when the determinant of their coordinates is:Read the answer and worked solution →When the area is given and you must find a coordinate, use:Read the answer and worked solution →A matrix whose determinant is not zero is called:Read the answer and worked solution →The area of a triangle with three collinear points is:Read the answer and worked solution →The minor of an element is found by deleting its:Read the answer and worked solution →The minor of an element in an order n determinant has order:Read the answer and worked solution →The cofactor Aij equals the minor multiplied by:Read the answer and worked solution →Determinants here are studied up to which order?Read the answer and worked solution →Expanding a determinant along different rows gives:Read the answer and worked solution →For easier work, expand along the row or column with most:Read the answer and worked solution →A determinant of zero means the matrix is:Read the answer and worked solution →A determinant may be thought of as a function from matrices to:Read the answer and worked solution →Before finding the inverse of a matrix, we first define its:Read the answer and worked solution →A square matrix is invertible if and only if it is:Read the answer and worked solution →A determinant can be associated with which kind of matrix?Read the answer and worked solution →

Worked practice questions

If A and B are non-singular of the same order, then AB is:

  1. Non-singular
  2. Singular one
  3. Always zeros
  4. Not defined
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Correct answer: A. Non-singular

1. Multiplying two invertible matrices keeps invertibility. 2. Their determinants are both non-zero. 3. So AB and BA are also non-singular. 4. The answer is non-singular. _Source: syllabus Mathematics, Ch 4 'Determinants'_

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For a 2 by 2 matrix with A = 2B, det A is det B times:

  1. Twoo
  2. Sixx
  3. Nine
  4. Four
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Correct answer: D. Four

1. Here k is 2 and the order n is 2. 2. The rule gives k to the power n. 3. That is 2 squared, which is 4. 4. So the answer is four. _Source: syllabus Mathematics, Ch 4 'Determinants'_

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If A = kB for square matrices of order n, then det A equals:

  1. n times det
  2. det B by k
  3. k^n det B
  4. k det B on
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Correct answer: C. k^n det B

1. Each of the n rows is multiplied by k. 2. Each row contributes one factor of k. 3. So det A equals k to the power n times det B. 4. The answer is k^n det B. _Source: syllabus Mathematics, Ch 4 'Determinants'_

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