148 Answered Questions for the topic Matrix

02/04/21

combined there are 178 asians,Africans and Americans in a village. The number of asians exceeds the number of africans and europeans the number by 75. The difference between the number of europeans... more
Matrix Algebra 2

11/05/20

#### Algebra two 3 variable matrix question. Find three variables and three equations for the matrix from the word problem.

An Oil Company in the US does business with three suppliers in Toronto, Montreal, and Vancouver. One month the company ordered a total of 100 gallons from these suppliers. The delivery costs were... more
Matrix Proofs

09/01/20

#### Proofs and matrices

If A is a n x n matrix. Show that A^2 = 0, then if i - A is nonsingular and (i-A)^-1 = i + A Thank you!

08/24/20

#### How do you find the solution set of a matrix? Thank you!

1 0 0 2 3 | 40 1 0 5 6 | 90 0 1 1 1 | 7I'd like to see how to do this big matrix

08/06/20

#### Matrix Operations

Let E = [2, -1, 3, 0], & F = [0, 1, -1, 2]Are E and F inverses of each other? Why?
Matrix Math Algebra 1

08/01/20

#### algebra question

Gonzalez Manufacturing borrowed ​$36000. Part of the money was borrowed at 4​%, part at 6​%, and part at 8%. The annual interest was ​$2240​, and the total amount borrowed at 4​% and 6​% was twice... more

07/30/20

Matrix is Not in reduced echelon form becauseA.)the last column has two non-zero elements.B.)ther than the leading 1 in the 3rd column, there is anothe non-zero element.C.)the non-zero element in... more

07/27/20

Find the eigenvalues and their corresponding eigenvectors of:  Hint: Use EROs to create two zeros in one row or one column of      first.

07/27/20

If     , where  , then the determinant of    is equal to:A.) 5B.) -5C.) 0D.) Can't be determined

07/27/20

#### Matrix of a linear system of equations

The following augenmented matrix of a linear system of equations is in a Reduced Echelon form.

07/27/20

#### Is the matrix invertible or not?

Determine whether the following matrix is invertible or not.

04/22/20

#### Find the dimensions of the following vector spaces

Find the dimensions of the following vector spaces.(a) The vector space of all upper triangular 4x4  matrices (b) The vector space of all diagonal 5x5  matrices (c) The vector space  R^(6x7)(d) The... more

04/21/20

#### Suppose that T is a linear transformation such that

Suppose that  is a linear transformation such thatT(1,-2)=(8,-4) , T(-2,-1)=(-1,8)Write T  as a matrix transformation.the linear transformation T is given by [ , ][ , ]

04/21/20

#### Find the quadratic polynomial whose graph goes through the points

Find the quadratic polynomial whose graph goes through the points (-2,10) (0,6) (1,13)f(x)=__x^2+__x+__i know the we substitute x and you to the equation and we get that c=6 but what do we do after?

04/06/20

#### Find formulas for the entries of M^n, where n is a positive integer.

M=[8 1] [-2 5]Find formulas for the entries of M^n , where n is a positive integer.i've got [-6^n+2*7^n -2*6^n+2*7^n] [6^n-7^n 2*6^n-7^n]but 1x2 and 2x1 are incorrect

04/03/20

#### (a)No one interferes with the ball. How long does it take the ball to hit the ground? (b)How far did the ball travel horizontally?

Aurora hit a baseball with an initial velocity of 70 feet per second at an angle of 30° with the horizontal. The ball hit her bat when the ball was 3 feet above the ground. Use answer from part a... more

03/22/20

#### Find the determinants for the matrices:

1. [ 5 4 ] [ 1 6 ] 2. [ 1 5 -3 ] [ -1 -3 3 ] [ 0 4 4 ] 3. 3I (I is a 4x4 matrix) 4. [ -1 -3 0 -3 ] [ 0 0 -1 0 ] [ 1 -1 3 -2 ] [ 3 2 -3 4 ]

03/22/20

#### Compute the determinant of the matrix that's obtained from A by applying the indicated row operation:

Suppose A ∈ M3 is a matrix with det(A) = -2The following row operations:a) R1 - 7R2b) 3R2c) R3 ⇄ R1

03/22/20

#### Determine which of the following are true and which are false

There exists a 3 x 3 matrix whose range is the same as its null space. The rank of a matrix is the number of non-zero rows that it has. For all square matrices A, it's true that det(-A) =... more

03/22/20

#### Compute each of the following quantities

Assume that A and B are 3 x 3 matrices with det(A) = 2 and det(B) = 4 det(AB) det(2A2) det(A-1BT) rank(A) dim(null(B))

03/22/20

#### Find a real number x where the matrix has a rank equal to 1.

The matrix is: [ 2 2 0 ] [ 1 1 0 ] [ -1 x 0 ]

03/22/20

#### Compute the rank and nullity of each matrix

1. [ -2 4 ] [ 1 5 ] 2. [ 1 2 -1 ] [ -2 -4 2 ]

03/04/20

#### Inverse Matrix Question

Suppose X and Y are both invertible matrices, and W is a block matrix: W = [ X Z ] [ 0 Y ] Show that W is invertible, and its inverse is:[ X-1 -X-1ZY-1 ] = W-1[ 0 Y -1 ]

03/04/20

#### Finding the Inverse of a Matrix

Suppose x ∈ R.Find the inverse of the following matrix: A = [ 1 1 1 ] [ 0 1 1 ] [ x 0 1 ]

03/04/20

#### Row Equivalent Matrices

Determine whether or not the two matrices are row equivalent: matrix one: [ 1 2 1 ] [ 1 -1 1 ] [ 2 1 2 ] matrix two: [ 0 -2 0 ] [ 1 1 1 ] [ 1 0 1 ]

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