# Math

Let A, B, and 0 be 2x2 matrices. Assuming that A is invertible, find a matrix C such that

[A^-1|0 ]
[C |A^-1]

is the inverse of the partitioned matrix

[A|0]
[B|A]

1. 👍 0
2. 👎 0
3. 👁 118

## Similar Questions

1. ### Math (matrices)

No one answered my matrix question. Let me rephrase: Let A, B, and 0 be 2x2 matrices. Assuming that A is invertible and 0 is all zeroes, what is the inverse of the matrix [A|0] [B|A] (that is a 4x4 matrix represented as 4 2x2

asked by James on November 16, 2006
2. ### LINEAR ALGEBRA

How to prove or disprove (a)if A has a zeronentryonthe diagonal then A is not invertible (b)if Ais not invertible then for every matrix B, AB is not invertible (c)if A is a nonzero 2X2 matrix such that A^2+A=0, then A is

asked by LEON on October 24, 2010
3. ### Algebra

Let A and B be n x n matrices, 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

asked by Ashley on May 31, 2007
4. ### linear algebra

1)If A is an invertible matrix and k is a positive integer, then (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,

asked by soasi piutau on April 13, 2012
5. ### Linear Algebra

Given the following matrices A and B, find an invertible matrix U such that UA = B: A and B are 4x4 matrix and i have to find U. I was wondering how i would do this ie. the steps. if you could be as detailed as possible that would

asked by Angel on October 11, 2017
6. ### Math

I have a few questions about T-Matrix. In excel, I am suppose to work with powered matrices to construct a weighted T matrix, using a scalar of .7. Does this mean I multiply each of the powered matrices by .7? Or do I power the

asked by Lisa on October 13, 2010
7. ### math

verify The set of all 2 × 2 invertible matrices with the standard matrix addition and scalar multiplication is a vector space or not?

asked by tasbeer on October 31, 2017
8. ### Math

Given the following matrix A, find an invertible matrix U so that UA is equal to the reduced row-echelon form of A: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. A = 3 3

asked by valarie on October 21, 2018
9. ### linear algebra

if: A and B are matrices and A^2 is similar to B^2 Is A guaranteed to be similar to B? ------- Matrix similarity means that the matrices are identical if one of the matrices is converted to another basis. If matrices C and D are

asked by mathstudent on July 20, 2007
10. ### math

If A^TA is an invertible matrix, prove that the column vectors of A are linearly independent. You know that if statement X implies statement Y then that is equivalent to Not(Y) implies Not(X). You can start by taking the column

asked by mathstudent on January 8, 2007

More Similar Questions