Determinants Quiz: 5 Practice Questions (Grade 12)

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If A is an invertible matrix then which of the following is not true

$\left|A^{-1}\right|=\left|A\right|^{-1}$

$\left|A\right|\ne0$

$\left(A^2\right)^{-1}=\left(A^{-1}\right)^2$

$\left(A^T\right)^{-1}=\left(A^{-1}\right)^T$

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If B is a non-singular matrix and A is a square matrix, then $Det\left(B^{-1}AB\right)$

$Det\left(A^{-1}\right)$

$Det(B^{-1})$

Det (A)

Det (B)

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If A is a singular matrix then adj A is

Non-Singular

Singular

Symmetric

Not defined

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If A satisfies the equation $x^3-5x^2+4x+\lambda=0,\ then\ A^{-1}\ exists\ if\$

$\lambda\ne1$

$\lambda\ne2$

$\lambda\ne-1$

$\lambda\ne0$

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If A is a matrix of order 3 and $\left|A\right|=8,\ then\ \left|adj\ A\right|=$

1

2

$2^3$

$2^6$

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Determinants

If A is an invertible matrix then which of the following is not true

If B is a non-singular matrix and A is a square matrix, then Det(B−1AB)Det\left(B^{-1}AB\right)Det(B−1AB)

If A is a singular matrix then adj A is

If A satisfies the equation x3−5x2+4x+λ=0, then A−1 exists if x^3-5x^2+4x+\lambda=0,\ then\ A^{-1}\ exists\ if\ x3−5x2+4x+λ=0, then A−1 exists if

If A is a matrix of order 3 and ∣A∣=8, then ∣adj A∣=\left|A\right|=8,\ then\ \left|adj\ A\right|=∣A∣=8, then ∣adj A∣=

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Discover more resources for Mathematics

If B is a non-singular matrix and A is a square matrix, then $Det\left(B^{-1}AB\right)$

If A satisfies the equation $x^3-5x^2+4x+\lambda=0,\ then\ A^{-1}\ exists\ if\$

If A is a matrix of order 3 and $\left|A\right|=8,\ then\ \left|adj\ A\right|=$