119 Answered Questions for the topic matrices

04/30/21

#### Show that B is the inverse of A.

A = -1/2 -5/4 B = 8 5 1 2 -4 -2To show that B is the inverse of A, we need to show that AB = I = BA.AB = -4 + ___ -5/2 + ___ ... more

04/30/21

#### Use the matrix capabilities of a graphing utility to solve (if possible) the system of linear equations. (Round your answers to two decimal places. If there is no solution, enter NO SOLUTION.

2x + 5y+ w= 15x + 4y + 2z - 2w= -72x - 2y + 5z + w = 2x - 3w = -1(x, y, z, w) = ______

04/17/21

#### Write the system of linear equations represented by the augmented matrix. (Use the variables x, y, z, and w, if applicable.)

7 -5    -148 3 -16= ________ ________

04/17/21

#### Use matrices and Gauss-Jordan elimination to solve systems of linear equations

The matrix 1 0 4 0 0 1 −6 −1 0 0 −5 5 can be reduced in the row echelon form 1 0 0 a 0 1 0 b 0 0 1 c where a, b, and c are real numbers. Find a. (Enter an exact number.)a = ____

12/16/20

#### Please, help-me with this Linear Algebra question

If T:R4→R4 is an linear transformation and pT(t) a characteristic polynomial of T, which of these options T is diagonalizablea) pT(t) = t^4 - 1 b) pT(t) = t^3(t + 2) c) pT(t) = t^2(t^2 - 1) d)... more
Matrices Calculus

11/19/20

#### Which matrix is not invertible?

1) 2 0 -1 3 1 0 3 3 3 2) 0 3 0 3 0 3 3 0 2 3) 1 0 0 0 1 0 0 0 1 4) 1 1 1 0 1 1 0 0 1
Matrices Calculus

11/19/20

#### Consider two invertible matrices A and B. Which one of the following is equal to A(AB)-1B?

Consider two invertible matrices A and B. Which one of the following is equal to A(AB)-1B?a)AB-1A-1Bb)Ic)AB/ABd)1
Matrices Calculus

11/19/20

#### Given the following matrix.

Given the following matrix A:1 0 0a 1 0 b a 1 Which of the following statements must be true for all a, b ∈ R? a) Ax = 0 b) AT = Ac) det(A) < 0 d) det(A) = a2 - b
Matrices Calculus

11/19/20

#### A square matrix A has a non-zero determinant. Exactly how many solutions are there to the equation Ax=b?

A square matrix A has a non-zero determinant. Exactly how many solutions are there to the equation Ax=b?

10/21/20

#### Find the matrix that performs this translation.

This problem will walk through the process of rotating by 90 degrees counterclockwise around the point (3, 5). Our strategy for rotation around the point (3, 5) will be to begin with a vector whose... more
Matrices Algebra

09/03/20

#### Find value of X for which matrices A does not have an inverse

A = x 5 1 3how is this meant to be solved or explained why it can't?

08/06/20

#### Performing Matrix Operations

Let A = [0, 1, 2, 3], B = [2, 0 , 1, 1], C = 1, 0, 4, 1, 3, -1], D = [0, 0, 1, -1, 2, 1, 1, 3, 0]For each of the following either state that it is not defined or perform the indicated operation(s).... more
Matrices Finite Math

07/27/20

#### Finite Math: Matrices

Let F = [0, 1, 1, 2, 0, 1, 0, 2, 3], and G = [1, 1/2, -1/2, 3, 0, -1, -2, 0, 1]Are F and G inverses of each other? Why?
Matrices Finite Math

07/27/20

#### Finite Math: Matrices

Let A = [0, -1, 2, 3], B = [2, 1, 4, 0], C = [1, 2 , 3, 0, -2, 1], D = [4, 5, 0, -3, 1, 1], [E = 1, 3, 0, 0, 4, -1, 1, 1, 0]For each of the following, either perform the indicated operation(s) or... more

07/25/20

#### Systems of Equations/Matrices

Solve each of the following systems of equations. If the system has a unique solution (one solution), state this and exhibit the solution. If the system is inconsistent (has no solutions) state... more

05/12/20

#### How to construct a matrixto project 4-dimensional space to a 2-dimensional plane?

How to Construct a matrix to project vectors in 4-dimensional space to a 2-dimensional plane that lies in the space and passes through the origin and the points (1 ,-1, -1, 1) and (1, -1, 1, 1).

04/06/20

#### If A and B are any matrices of order 2×1, show that the product ABt has no inverse

Matrices Algebra 2

01/24/20

#### Algebra 2, matrices help

If matrix C is a 5 X 2 matrix and D is a 2 X 1 matrix, what are the dimensions of C•D?

01/23/20

#### Matrix True and False Questions

a) If A and B are n x n matrices then (AB)2 =A2B2b) If the product of two matrices AB is square, then A and B must be square.c) If A and B are matrices with sizes such that AB is square, then BA... more

09/30/19

#### When do you need to find the Inverse in order to solve a system of equations?

In class we learned how to solve a system of equations by using a matrix and performing the gauss-jordan elimination method. We also learned a method where you use the gauss-jordan method to find... more

09/14/19

#### Will anyone help me with PIVOTING a MATRIX?

Pivot the system about the element in row 2, column 2. Do not completely reduce the matrix. [Recall that pivoting about an entry means to make that entry a 1 and all other entries in that column... more

09/08/19

#### Show that the determinant of | Row1: cosx cosz 1; Row 2: cosy 1 cosz; Row 3: 1 cosy cosx | = 0 when x + y + z = 2 pi

Show that the determinant of | cosx cosz 1 || cosy 1 cosz || 1 cosy cosx | is = 0 when x + y + z = 2 pi

05/22/19

#### Minimal polynomials and characteristic polynomials?

I am trying to understand the similarities and differences between the minimal polynomial and characteristic polynomial of Matrices. 1. When are the minimal polynomial and characteristic... more

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