Calculate the inverse of the matrix and find the values for a, b, c, and d [4,12,1,10] A^1=[a/14, b/7, c/28, d/7]

Question

Mathematics

Issac Johns

28 June, 22:38

Calculate the inverse of the matrix and find the values for a, b, c, and d [4,12,1,10] A^1=[a/14, b/7, c/28, d/7]

+5

Answers (1)

Know the Answer?

Darren Gallegos · Answer 1

a: 5

b: - 3

c: - 1

d: 1

Step-by-step explanation:

Given the matrix:

A = [4 12

1 10]

its determinant is: 4*10 - 1*12 = 28

the inverse of A is:

1/28*[10 - 12

-1 4]

[10/28 - 12/28

-1/28 4/28]

A^-1 = [5/14 - 3/7

-1/28 1/7]