Patients in a large hospital have a choice of four menus, each with meat, potato, vegetable, salad, and dessert. For example, Menu 1 has baked ham, sweet potatoes, peas, green salad, and baked apples. Matrix C gives the cost per serving (in cents) for each item in these menus. Matrix D gives the number of menus ordered each day last week.  a. Explain the meaning of CtD and DtC.  b. Let A be the 5 x 1 matrix whose elements are all 1. Find CA. What information does CA give?  c. Let B be the 1 x 4 matrix whose elements are all 1. Find BD. What information does BD give

Q: Use a software program or a graphing utility with matrix capabilities to find |A|, |AT|, |a²1, |2A|,…

A: To find out the following using a calculator.

Q: Find the reduced echelon form of the following matrix by locating pivot position and pivot column.…

A: Solution: Consider the given matrix: A = 232322321112 Now, applying R1 →12R1, R2 →R2 - 3R1 , R3→R3…

Q: Use a software program or a graphing utility with matrix capabilities to find JA|, JAI, JA²I, [2A|,…

A: Using Wolfram Mathematica Software

Q: Find the LU factorization of the matrix A, where 3 -5 2 3 2 -2 A = -1 -6 1 -1 -4 1 2 1 2.

A: We know that A = L U where L is the lower triangular matrix and U is the upper triangular matrix.

Q: determine whether the given matrix is in row echelon form. If it is, state whether it is also in…

A: This matrix is in row echelon form because the leading entry is 1 and each leading entry in a column…

Q: Determine whether the matrix is in reduced row-echelon form, or neither.

A: A matrix is in echelon form if it is either in row echelon form or reduced row echelon form. In row…

Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

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Q: Find the matrix A (in terms of B and C ) if (ЗАТ + 4СТВ)Т3 5A - 4B

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Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

A:

Q: Suppose that A is a 10 x 4 matrix, and that B is an equivalent matrix in echelon form. If the number…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Suppose that  |A| + |B| = |A + B| , find a 2x2 matrix for A and B

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Q: Identify that the given matrix is Diagonalisable or not: -2 = | -2 6

A: A matrix is said to be diagonalizable if it is similar to a diagonal matrix. Also, if a matrix has…

Q: Identify that the given matrix is Diagonalisable or not: -2 A = 2 6 -1 1 5.

A: It is diagonalisable

Q: Determine if the columns of the matrix form a linearly independent set. Justify your answer. -2 -1…

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Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

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Q: Given the matrix A, find A +B [A] = 3 0. 15 [B] = [ -3 5 %3D 4

A:

Q: Determine whether the given matrix is in row echelon form. If it is, state whether it is also in…

A: 001010100

Q: Determine whether the given matrix is in row echelon form. If it is, state whether it is also in…

A: Echelon form of a matrix :       (i)   Any rows of all zeros are below any other non zero rows.…

Q: Determine the coefficient matrix A, the right-hand side vector b, and the augmented matrix, A of the…

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Q: Let A be an m×n matrix such that Ax​=b and Ax​=c each have a solution for some choice of b and c in…

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Q: Multiply [ab] times [_d -]. What is the inverse of each matrix if ad + bc?

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Q: Reduce the matrix to echelon form and find its rank -1 -3 3 -1 1 1 -1 -5 -3 -1 1 0 1 2.

A: Consider the given matrix, -1-33-111-102-52-3-1101 use the following elementary row operations to…

Q: If the matrix B is in span then what is the rank of B? OA. 1 B. 2 C. 1 or 2 D. 0 or 2 O E. O or 1

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Q: Determine whether the given matrix is in row echelon form. If it is, state whether it is also in…

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Q: For the MAtrix       1 -2   4 A= 2   0   6       3   7   3 what is the vlaue of |A|

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Q: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

A:

Q: If A is a 2 × 3 matrix, and B is a 3 × 4 matrix, how many columns does AB have?

A: Given that  If A is a 2 × 3 matrix, and B is a 3 × 4 matrix To find how many columns does AB have

Q: Find the matrix A (in terms of B, C, and D) if (4DA-'B )-1 = C

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Q: Give the order of the given matrix. 1 If A =[aj], identify a32 and a23, if possible. -3 6.

A: We are given with the matrix and to find a) order of matrix b) a32 and a23

Q: State whether the given statement is True or False. If for a square matrix A and B, null matrix O,…

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Q: Let A be a 3 x 10 matrix, and let B be m x n. Suppose that B'A' is a 21 x 3 matrix. What is the…

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Q: a) Consider the matrices A and B: 4 -3 A =-2 7 1 8 6. -5 B = -3 -2 Which element is in row 2, column…

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Q: A B А - R B Matrix becomes C D с D-R

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Q: Find the adjoint of a matrix 1 -3 C = 2 -2 1 -1 .a -5 -6 -2 3 3 1 -6 -7 -2 .b -5 3 -6 -6 3 -7 -2 1…

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Q: Determine if the columns of the given matrix form a linearly dependent set. 3 4 3 1 3 -2 0 -1 -7 5.…

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Q: If A = B x C, find the matrix A. B [ 1 -3 -2 201 C ·[ 2 -2 3 1 -1 0

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Q: Find the rank of the following matrix. -1 3D1 0. 3. 4 2 1 4 |

A: given matrix is -1-100002340-213-104find the rank of the matrix

Q: If A is a 3 X 5 matrix, explain why the columns of A must be linearly dependent.

A: In A is a 3 X 5 matrix, explain why the columns of A must be linearly dependent. You have 5 column…

Q: Find the matrix A if 2 1 A = 4 2 %3D -1 3 1 3 B3: A =

A:

Q: Given that A is a 4 × 2 matrix and B is a 2 × 1 matrix, a. Is AB defined? If so, what is the order…

A: a) A is a 4 × 2 matrix and B is a 2 × 1 matrix Since number of coulmns of A=number of rows of BSo AB…

Q: Determine whether the matrix is in reduced row-echelon form, or neither.

A: Here, the given matrix is: 1800017100000 To check is it in row echelon form, reduced row echelon…

Q: determine whether the given matrix is in row echelon form. If it is, state whether it is also in…

A:

Q: Given the matrix A, find A -B -3 9 [A] = [5 [B] = [ -21 %3D -3 1

A: Given that, the matrices are A=2045-38 and B=-35941-2.

Q: Compute Aº, A-³, and A² – 2A+ I. 2 A = 7 3 NOTE: Write the elements of each matrix exactly. A³ : ? ?…

A:

Q: The number of calories burned per hour for three activities is given in matrix N for a 140-lb woman…

A: (a)

Q: What must be the matrix X, if 2 2X + 3 4 3 8 7 2

A: we have to find the matrix X if 2X+1234=3872

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.