Matrix inverse using equations
9:36
Khan AcademyAshish Gupta
Matrix inverse using equations
In this video, we learn how to find the inverse of a matrix using the equation it satisfies. We first solve 2 problems where the given equation is a quadratic. To find the inverse, we postmultiply both sides with the inverse and use the fact that a matrix multiplied by its inverse gives the identity matrix. In the third problem, we also have to ...
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SOLVED: Question 1. (5 points Give examples of matrices A and B such that(a) A B is not invertible; although A and B are invertible (6) A B is invertible, although A and B are not invertible.(c) all of A,B, and A B are invertible(d) How many 2 by 2 matrices are there whose entries are ls and Os?(e) Suppose 3 of the 4 entries in a 2 by 2 matrix are ls and the fourth entry is 0 Is this matrix invertible?
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