Saturday

January 31, 2015

January 31, 2015

Posted by **soasi piutau** on Friday, April 13, 2012 at 2:29am.

(A^k)^-1 = (A^-1)^k note: ^ stand for power, -1 stand for inverse of A

2)If A is an invertible matrix, then (transpose of A)^-1 =transpose of(A^-1)

3)Prove A^2 = A, then

I - 2A = (I - 2A)^-1 such that A is a Matrix

4)Prove that if A, B, and C are square matrices and ABC = I, then B is invertible and B inverse = CA

5)Prove that if A and B are idempotent and AB = BA then AB is idempotent.

6) Prove that if A is row-equivalent to B, then B is row equivalent to A.

7) Prove that if A is an n x n matrix that is idempotent and invertible, then A = I

**Answer this Question**

**Related Questions**

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

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

Linear Algebra - Consider the linear transformation T: R^3->R^3 which acts by...

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

Algebra - Let A and B be n x n matrices, assume AB is invertible and show that ...

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

Algebra II (Matrices) - My book doesn't solve it like a linear equation, they ...

MATHS----Matrix - For a given square matrix A the predicted values of matrix B ...

linear algebra - 3. Suppose A is symmetric positive definite and Q is an ...

linear algebra - Use an inverse matrix to solve each system of linear equations...