Math, asked by Ayush0509, 1 month ago

inverse of a rectangular Matrix is not a matrix answer in one word​

Answers

Answered by broopa749
0

Answer:

area of rectangle

Step-by-step explanation:

I will give a basic definition/understanding, one that I learned in introductory Linear Algebra. For a matrix AA, the inverse matrix A−1A−1 is a matrix that when multiplied by AA yields the Identity matrix of the vector space. AA−1=IAA−1=I. A−1A−1 can be multiplied to the left or right of A, and still yield II. It can help in a scenario like AB=ACAB=AC where AA is invertible. A−1AB=A−1ACA−1AB=A−1AC which yields B=CB=C. When a matrix doesn't have an inverse, it means just that. However, there are equivalent statements you should learn when AA is/is not invertible. For example, if AA is invertible then it is row-equivalent to II.

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