C) The determinant of 2 x 2 matrix A is 3. If you switch the rows and multiply the first row by 6 and the second row by 2, expla

Question

marysya [2.9K]

3 years ago

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C) The determinant of 2 x 2 matrix A is 3. If you switch the rows and multiply the first row by 6 and the second row by 2, expla

in how to find determinant and provide the answer

Mathematics

1 answer:

crimeas [40] · Answer 1 · 2021-12-20T11:05:28+03:00

Answer:

Step-by-step explanation:

A 2 × 2 matrix has 2 rows and 2 columns

Let us assume that matrix A is expressed as

a b

c d

The determinant of matrix A would be

(a × d) - (b × c)

Given that the determinant of matrix A is 3, it means that

ad + bc = 3

If we switch the rows, the first row becomes cd and the second row becomes ab. If we multiply the first row by 6 and the second row by 2, the matrix becomes

6c 6d

2a 2b

The determinant would be

(6c × 2b) - (2a × 6d)

Determinant = 12bc - 12ad