# 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 9 −6
3 3 9 −6
−2 −1 −8 1
I believe the answer for U is
3 0 0
0 -1 -2
0 0 -1

1. 👍
2. 👎
3. 👁
1. well what is U * A using your U
3 +0 +0
0 -1 -2
0 +0 -1
times
A = (interesting, first two equations (rows) the same :()
3 3 9 −6
3 3 9 −6
−2 −1 −8 1
==========================
well for the first two rows I get
9 +9 27 -18
1 -1 +7 + 4

reduced row echelon ?????
to check use
https://www.emathhelp.net/calculators/linear-algebra/reduced-row-echelon-form-rref-caclulator/?i=%5B%5B3%2C3%2C9%2C-6%5D%2C%5B3%2C3%2C9%2C-6%5D%2C%5B-2%2C-1%2C-8%2C1%5D%5D&steps=on

1. 👍
2. 👎

## Similar Questions

1. ### math

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

2. ### Linear Algebra

Find conditions on k that will make the matrix A invertible. To enter your answer, first select 'always', 'never', or whether k should be equal or not equal to specific values, then enter a value or a list of values separated by

3. ### Diagonalize

construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible. Just write down a diagonal matrix with one zero on the diagonal and then apply an orthogonal transformation. E.g. if you start with the matrix: A = [1

4. ### Matrix

Let A be an invertible n x n matrix, and let B be an n x p matrix. Explain why (A^-1)(B) can be computed by row reduction: [A B] ~...~ [I X] X=(A^-1)(B)

1. ### Augmented Matrix

Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent. DO ALL WORK BY HAND. x + 2y + 4z = 6 y + z = 1 x + 3y + 5z =10 If one subtracts the

2. ### Algebra

Given the following vector X, find a non-zero square matrix A such that AX=0: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. X= 2 -8 6 A= _ _ _ _ _ _ _ _ _ Please help, I

3. ### Linear Algebra

Consider the following system of linear equations: 2x1+2x2+4x3 = −12 x1+6x2−8x3 = −6 x1−2x2+9x3 = −8 Let A be the coefficient matrix and X the solution matrix to the system. Solve the system by first computing A−1 and

4. ### Math

How do we know the ith of an invertible matrix B is orthogonal to the jth column of B^-1 , if i is not equal/unequal to j?

1. ### Math

Directions: Use the following matrix to perform the elementary row operations sequentially. A=[3 2 |8] [5 2 |12] 1.) (1/3) R1 From the original matrix 2.) -5R1+R R2 From matrix in question 1.

2. ### Linear Algebra

(a) Show that if A is an m x n matrix and A(BA) is defined, then B is an n x m matrix. (b) Show that if A has a row of zeros and B is any matrix for which AB is defined, then AB also has a row of zeros. (c) Find a similar result

3. ### Calc

A video games shop is analyzing its sales performance using matrices. Matrix A contains the unit sales data for each product category (horizontally) per week (vertically). Matrix B contains the unit sales data for weekends for

4. ### Algebra

2. Use an augmented matrix to solve the system. x + y = 5 3x – y = –1 (1 point) (1, 4) (1, 5) (3, –1)*** (5, –1) 3. When converting a system of linear equations into an augmented matrix, what equation form is needed? (1