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Grade 12Algebra

what is meant by the multiplicative inverse of a 2 *2 matrix?

Profile image of Lavanya kunderu
9 Years agoGrade 12
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Profile image of SARAVANAN GANESAN
ApprovedApproved Tutor Answer9 Years ago
The multiplicative inverse of a matrix is the matrix that gives you the identity matrix when multiplied by the original matrix. Thus, the resultant matrix must also be à 2x2 matrix as of this case is concerned. Now, how to get the multiplicative inverse is the next question. For that, what u do is that, multiply the identity matrix of order 2 with the inverse of the given 2x2 matrix. You`ll get the needed answer. If u want​ to check the answer, then multiply the original matrix in the question with the multiplicative inverse matrix that you got. They must lead to an identity matrix of the same order.