Use row reduction to find the inverse of the given matrix if it exists, and check your answer by multiplication.
2 answers:
Answer:
Step-by-step explanation:
Given the 2×2 matrix since the matrix consists of 2rows and 2columns, to find its inverse using row reduction method, we will augment the matrix given with a 2×2 identity matrix before carrying out the reduction on the resulting 2×4 matrices. The resulting matrix must be an identity matrix augmented with the inverse of the matrix in question. The process of reduction is as shown in simple steps.
[A | I] -> [I | A-¹] where
A is the given matrix
I is the 2×2 identity matrix
A-¹ is the inverse of the matrix
Check attachment for the reduced matrix.
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