Answered: [3x 6х —2х] -x 5) The matrix A = , then…

[3x 6х —2х] -x 5) The matrix A = , then multiplication of A * A = A? is : a) 6x 2x2! 3x2 -x2] b) x² % 9. с) х [36 d) x\i/6 [1/3 1/1] 1/2]

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.4: Elementary Matrices

Problem 61E: Show that the matrix below does not have an LU factorization. A=0110

See similar textbooks

Related questions

Q: Give an example of a 4 x 4 matrix that is symmetric, has with the (2,4)-entry equal to -5, and has…

Q: Suppose A is the 3 x 3 zero matrix (with all zero entries). Describe the solution set of the…

A: To prove Ax = 0

Q: Find the symmetric matrix A associated with the given quadratic form.…

A: Solution: Consider the given quadratic form is: 2x2 - 3y2 + z2 - 4xz we know that if ϕ =…

Q: Find an SVD of the matrix. -7 3 A = - 3 - 1 O (Type an exact answer, using radicals as needed.) A =

Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

Q: 4. If b = [1 -1 0]", determine whether the matrix equation Ax = b indicates a solution by…

Q: If A = (aij) is the matrix of the quadratic form 7x + 5x, + 2x – 6x1x2 + 12x1x3 – 10x2x3, then the…

Q: If the matrix A is positive symmetric definite, is BTAB also positive symmetric definite?

A: Let us define the function as, A¯=BTAB Then, A¯T=BTABT=BATBT=BABT [A is symmetric]

Q: The matrix is not invertible for what value of x 2 1] 3 2 1 1 2

A: The matrix is not invertible the determinant of matrix should be zero.

Q: 2x1- 3x2+ 2x3= 9 3x1- 2x2+ X3 = 4 X1 - 4x2+ 2x3 = 6

A: Given system of linear equations is , 2x1-3x2+2x3= 9…

Q: 32. Construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible.

A: .

Q: Let A be a 5×5 matrix such that Ax=b has a solution for every b in R5. Is it possible for Ax=0 to…

A: Here, Ax=b has a solution for every b in R5

Q: What is a, if A = 2 4 is a singular matrix ? a Simplify (1+x)(1+x²)(1 – x + x?) in descending order…

Q: If A is 3 x 5 matrix with rank 1, then the number of special solutions to Ax = 0 is %3D O is

A: Since the rank of the matrix = 1. So the number of free variables = 5 - 1 = 4.

Q: Construct 3 × 2 matrices A and B such that Ax = 0 has only the trivial solution and Bx = 0 has a…

Q: O Show that the secular equation for an arbitrary 2 x 2 matrix ( ) can be solved exactly by a…

A: Please check step 2 for the solution.

Q: Find three non-trivial 2 x 2 matrices such that the square of the matrix is the zero matrix, i.e: A?

A: We want to find matrix A such that A2 = 0000

Q: Suppose A is a 5 x 5 nonsingular matrix, and Bis the result of exchanging the second and fourth rows…

A: If a matrix A is non-singular then all the rows and all the columns of A are linearly independent.

Q: Find 6×6 matrix a, that satisfies the stated condition. Make your answers as general as possible by…

A: Let the genral 6*6 matrix is given by…

Q: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

Q: 4 For matrix A = if g(X) = X2 + 4x + 2, what is the answer to g(A)? 3

Q: Solve for the value of x2 in the system of equations having the augmented matrix below. 3 -2 1 0] 2…

A: To find the value of x2 using the given augmented matrix.

Q: Find the range of a (2 × 3) matrix B with rank(B) = 2

Q: 6. If A is a 4 x 2 matrix and B is a 3 x 2 matrix, what is the size of ABT?

Q: 2 Prove that the 3 × 3 matrix A = 4 -1 cannot be factored as A = LDL". 1 -1 3

A: In the question it is asked to show that the matrix A=12124-11-13 cannot be factored as A=LDLT.

Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

A: Given A=1-11-1

Q: Give a 4 x 4 elementary matrix E which will carry out the row operation R2 + 4R1 → R2.

Q: If matrix A is of order 3x1 and matrix B is of order 4x3, then the order of matrix BA is 4x1 O 1x4…

Q: If A is an nxn matrix and B is obtained from A by performing the following elementary row operations…

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 - 2xy- 2xz -…

A: The objective is to find the symmetric matrix and diagonal form of the quadratic form…

Q: If A is a 6 × 8 matrix, what is the smallest possible dimension of Nul A?

A: Consider the provided matrix, Given, A is a 6 x 8 matrix. Since, the rank of A equals the number of…

Q: Verify by direct calculation that the matrix -2 -3 -1 A = 1 %3D 3. 3. satisfies the Cayley-Hamilton…

A: by cayley Hamilton theorem , " matrix satisfied its own characteristic equation " now to satisfied…

Q: Find the matrix corresponding to the quadratic form Q(x) = x + 2x1x2 + 2x1x3. Is Q positive…

Q: Let A be a square matrix and det(A) = 2. If B is the matrix that results when –7 times the - first…

A: Given that: det(A)=2

Q: (1) Without calculations, can you tell if the n x n matrix 1 2 ... 1 n – 1 ... 0 0 1 ... is…

Q: Find two 3 x 3 matrices A and B such that A · B+ B · A Find a 3 x 3 matrix A that is not the zero…

Q: Explain why the columns of an n×n matrix A span R^n when A is invertible.

A: Consider, a matrix A of order n, which is a invertible matrix.Since, the set of vectors

Q: [2 Given the matrix

A: As per the instructions, we will be solving only the first question. We will be solving 2131xy=21.…

Q: 18. Let A be a 3 x 5 matrix with 2 pivots. What is the dimension of Nul(A)?

Q: Find 6x6 matrix | a, that satisfies the stated condition. Make your answers as general as possible…

Q: [2 3 find the invers of matrix A by using the elementary row operation, where A = 5.

A: For finding the inverse of any matrix A, at first we augment it with an identity matrix on the…

Q: Q1/ Find the matrix below: -5x+2y-4z=5 3x+5y-2z=0 -2y-8z=3

Q: Find the inverse of the matrix and verify that A-!A = AA1- 1. 4--10 A 3D 2. 8. A-1 Show My Work…

Q: .

Q: 3. Consider 3x3 matrix A the 1 A て 1. レ Colculate the adjoint matrix

Q: For matrix A if f(X) = X2 + 4, what is the answer to f(A)?

Q: Matrix A is 2 x 7 and matrix B is 2 x 8. BTA is dimension

Q: Compute the matrix exponential e At for the following system x' = Ax. x'1 = 6x1 - 2x2, x'2 = 2x, +X2…

A: Step:-1 Note:- If A is diagonalizable matrix that is, there exist an invertible matrix P and a…

Q: Consider an iterative method Ik+1 Mak + b . Construct a 3 x 3 matrix M p(м) > 1 with Find another…

Q: Given the matrices A=[0235], B=[2−2 4−2] and C=[5−5 0 2],,solve for the matrix X in the equation…

A: We have to find matrix X

Question

[3x
6х —2х]
-x
5) The matrix A =
, then multiplication of A * A = A? is :
a) 6x 2x2!
3x2
-x2]
b) x² %
9.
с) х
[36
d) x\i/6
[1/3 1/1]
1/2]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inverse of a Matrix$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Can a matrix with zeros on the diagonal have an inverse? If so, find an example. If not, prove why not. For simplicity, assume a 22 matrix.
Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
11. Find two nonzero matrices and such that.
Show that the matrix below does not have an LU factorization. A=0110
Can a matrix whose entry is 0 on the diagonal be solved? Explain why or why not. What would you do to remedy the situation?
Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be used to create a leading 1 at the top of the first column. Which do you prefer and why?
In general, it is difficult to show that two matrices are similar. However, if two similar matrices are diagonalizable, the task becomes easier. In Exercises 38-41, show that A and B are similar by showing that they are similar to the same diagonal matrix. Then find an invertible matrix P such that .