how we can find this inverse matrix

Mathematics
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how we can find this inverse matrix

Jun 14th, 2015

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Jun 14th, 2015

we use the notation A-1 to denote the inverse of matrix A. Some important things to remember about inverse matrices is they are not commutative, and a full generalization is possible only if the matrices you are using a square. (meaning they have the same number of rows and columns, an n x n matrix)

An n x n matrix (A) is said to be invertible if there is an n x n matrix (C) such that CA= I and AC= I where I is the n x n identity matrix. An identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Basically A-1 A= I and A A-1 = I where A is an invertible matrix and A-1 is the inverse of A. A matrix is said to be a singular matrix if it is non-invertible. A matrix is a nonsingular matrix if it is an invertible matrix. A simple formula for finding the inverse of a 2 x 2 matrix is given by Theorem 4: We call the quantity ad - bc the determinant of the matrix. ( det A = ad - bc ) A 2 x 2 matrix is invertible if and only if (iff) its determinant does not equal 0.

Jun 14th, 2015

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