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AP Intermediate 2nd Year Determinants — practice questions — page 3

Explore 87 free Determinants questions in AP Intermediate 2nd Year 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 61–87 of 87.

A determinant can be associated with which kind of matrix?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 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 →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 →If A and B are non-singular of the same order, then AB is:Read the answer and worked solution →Since area is positive, we take which value of the determinant?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 →For a 2 by 2 matrix with A = 2B, det A is det B times: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 determinant may be thought of as a function from matrices to:Read the answer and worked solution →Match the determinant termRead the answer and worked solution →True or false about determinantsRead the answer and worked solution →Singular or non-singular?Read the answer and worked solution →Determinant numbersRead the answer and worked solution →Order the steps to an inverseRead the answer and worked solution →Complete the invertibility ruleRead the answer and worked solution →Determinant quick callsRead the answer and worked solution →Determinants bingoRead the answer and worked solution →

Worked practice questions

A determinant can be associated with which kind of matrix?

  1. Square matrix
  2. Row matrix on
  3. Wide rectangle
  4. Tall rectangle
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Correct answer: A. Square matrix

1. Determinants need equal numbers of rows and columns. 2. Only then is the value defined. 3. Every square matrix has a determinant. 4. So the answer is a square matrix. _Source: syllabus Mathematics, Ch 4 'Determinants'_

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Determinants here are studied up to which order?

  1. Nine
  2. Three
  3. Seven
  4. Eight
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Correct answer: B. Three

1. Higher orders follow the same pattern but grow long. 2. Only the manageable cases are covered here. 3. Determinants are studied up to order three. 4. So the answer is three. _Source: syllabus Mathematics, Ch 4 'Determinants'_

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Expanding a determinant along different rows gives:

  1. Always a zero
  2. Only positives
  3. The same value
  4. Different value
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Correct answer: C. The same value

1. A determinant is a single number for the matrix. 2. The route to it does not change what it is. 3. Expanding along any row or column gives the same value. 4. So the answer is the same value. _Source: syllabus Mathematics, Ch 4 'Determinants'_

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More Mathematics topics

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