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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Answer:
B
Step-by-step explanation:
Given,
Dividend =
Divisor =
Step 1: First The dividend is and Divisor is
when divided first time the quotient will be
and remainder will be
Step: 2 Now the new dividend is and Divisor is
when divided the quotient will be
and remainder will be
Step: 3 Now the new dividend is and Divisor is
when divided the quotient will be
and remainder will be
Step: 4 Now the new dividend is and Divisor is
when divided the quotient will be
and remainder will be
Step: 5 Now the new dividend is and Divisor is
when divided the quotient will be
and remainder will be 0.
Hence When the polynomial is divided by
the answer or quotient will be equal to
and remainder will be 0.
