What is the inverse of a 2x2 matrix A = [[a, b], [c, d]]?a.1/(ad-bc) * [[a, b], [c, d]]b.1/(ad+bc) * [[a, -b], [-c, d]]c.1/(ad+bc) * [[d, b], [c, a]]d.1/(ad-bc) * [[d, -b], [-c, a]]
Question
What is the inverse of a 2x2 matrix A = [[a, b], [c, d]]?a.1/(ad-bc) * [[a, b], [c, d]]b.1/(ad+bc) * [[a, -b], [-c, d]]c.1/(ad+bc) * [[d, b], [c, a]]d.1/(ad-bc) * [[d, -b], [-c, a]]
Solution
The inverse of a 2x2 matrix A = [[a, b], [c, d]] is given by 1/(ad-bc) * [[d, -b], [-c, a]]. So, the correct answer is option d.
Similar Questions
Find the inverse of the matrix A = [2 5; 1 3].a.[3 1; -5 2]b.[3 -5; -1 2]c.[2 -5; 1 3]d.[3 -1; -5 2]
What is the determinant of a 2x2 matrix A = [[a, b], [c, d]]?
nd the inverse of the matrix:
Find the inverse of matrix B = [[2, 1], [5, 3]]
Let A be a matrix as follows Find the inverse of the matrix by [A:I] (if it exists).Find the inverse of the matrix by [A:I] (if it exists), by finding the values of x, y, z, and w.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.