A is a 3 × 3 matrix with |A| = 5. B is obtained from A by R₂ → R₂ + 3R₁. What is |B|?

Determinants, Adjoint & Inverse · Question 10 of 87

Question 10

EasyOriginal question

$A$ is a 3 × 3 matrix with $|A| = 5$ . $B$ is obtained from $A$ by $R_2 \to R_2 + 3R_1$ . What is $|B|$ ?

5

Correct answerYour answer

6

Correct answerYour answer

15

Correct answerYour answer

20

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

15 treats the operation as multiplying a row by 3, which would multiply the determinant by 3.

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

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