EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Determinants, Adjoint & Inverse · Question 62 of 87

Question 62

MediumOriginal question

AA is a square matrix of order 2 with ∣A∣=6|A| = 6. What is ∣adj⁡A∣|\operatorname{adj} A|?

Options for question 62

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. For order nn, ∣adj⁡A∣=∣A∣n−1|\operatorname{adj} A| = |A|^{n - 1}.

  2. With n=2n = 2: 61=66^{1} = 6.

Worth noting

36 is ∣A∣2|A|^{2}, the rule for order 3.

Concept
Determinants of the adjoint and the inverse
Typical time
90 s
Your time
—
The rule this testsThe adjoint and the inverse
Practise this chapter →

Ten questions from Determinants, Adjoint & Inverse, at your own pace.

Practise this chapter →

Ten questions from Determinants, Adjoint & Inverse, at your own pace.