Friday

January 30, 2015

January 30, 2015

Posted by **Ashley** on Thursday, May 31, 2007 at 1:17pm.

assume AB is invertible and show that both A and B are invertible.

what?

AB is invertible ----->

There exists a matrix X such that:

(AB)X = 1

But (AB)X = A(BX). So,

AY = 1

for Y = BX

Also:

X(AB) = 1

And thus

ZB = 1

for Z = XA

**Answer this Question**

**Related Questions**

LINEAR ALGEBRA - How to prove or disprove (a)if A has a zeronentryonthe diagonal...

College Math : Linear Algebra - Suppose A is a square matrix satisfying the ...

linear algebra - 1)If A is an invertible matrix and k is a positive integer, ...

math - If A^TA is an invertible matrix, prove that the column vectors of A are ...

Calculus - Determine whether or not each of the following functions is ...

Calc. checking answer - Determine whether or not each of the following functions...

Math - Let A, B, and 0 be 2x2 matrices. Assuming that A is invertible, find a ...

Trig - Let f and g be two invertible functions such that f^-1(x)=5/x+4 and g(x)=...

math - Suppose P is an invertible 3×3 matrix with real entries and P4=2P. Find ...

Math - How do we know the ith of an invertible matrix B is orthogonal to the jth...