Question

A=[1 1 -1 2 ] then A^-1= [a b c d ] where a= b= c= ?

Answer 1

To find the inverse of matrix A, use the formula (1/(ad - bc)) * [d -b -c a]. Simplifying the calculation yields a = b = c = 2/3 and d = 1/3.

Step-by-step explanation:

If you have matrix A = [1 1 -1 2], the inverse of A is A-1 = [a b c d], where a = b = c = ? To find the inverse of A, you can use the formula for a 2x2 matrix:

A-1 = (1/(ad - bc)) * [d -b -c a]

Applying this formula to matrix A, you get:

A-1 = (1/(1(2) - (1)(-1))) * [2 -1 1 1]

Simplifying the calculation further, you have:

A-1 = (1/3) * [2 -1 1 1]

Therefore, a = b = c = 2/3, and d = 1/3.