Recall the left coast bookstore chain from the preceding section. In January it sold 700 hardcover books, 1300 softcover books, and 2000 plastic books in san Francisco; it sold 400 hardcover, 300 softcover, and 500 plastic books in los angeles. Now hardcover books sell for $30 each, softcover books sell for $10 each, and plastic books sell for $15 each. Write a column matrix with the price data and show how matrix multiplication (using the sales and price data matrices) may be used to compute the total revenue at the two stores

Q: Explain in your own words why the augmented matrix below represents a system of depender equations.…

A:

Q: In your own words, describe each of the three matrix row operations. Give an example with each of…

A: Given: Example with each of the three operations in the matrix row operations

Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

A:

Q: Given the following 2x3 matrices:- 2 3 A B 4 3 -1 Find the matrix 2A-3B+c

A: Given the matrices A, B, C and D, we need to calculate 2A-3B+C

Q: For each of the pairs of matrices that follow, determine whether it is possible to multiply the…

A: Here the order of first matrix is (3 x 3) and the order of second matrix is (3 x 2), therefore the…

Q: The total number of passengers riding the city bus on Monday was 1000. If it cost $1.25 for children…

A: Given: The total number of passengers are 1000,            Cost for children is $1.25,…

Q: Find the reduced row-echelon matrix that is row-equivalent to the given matrix. 1 2 3 4 5 6 7 8 9 00…

A:

Q: 2. -1 2 2. 2 2 A. 20

A:

Q: Write the sustem of equationo of the form Ax = B X,-2x2 +4x3= -2 メ」t x2 t 5えるニ一 メ1 X 2 X 3 Write an…

A:

Q: A trust fund has $ 30,000 that must be invested in two different types of bonds. The first bond pays…

A: Here the total investment is $30,000. Let the investment on the first bond is x, which pays 5%…

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

A:

Q: What is the order of the following matrix and why?  | 5 | | -2| | 0 | | -1 |

A: Given: | 5 |   | -2|   | 0 |   | -1 |

Q: Atlanta Chicago New York Coats 40 63 18 Shirts 85 56 42 Trousers 6. 18 8. Ties 10 8 A= 4x3, B4x1 B.A…

A: Given: A table is given with 4 rows and 3 columns. To find: Matrix form. the handwritten solution is…

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

A:

Q: 2 -31 A = | 2 -1 4 [4 3 -2

A:

Q: Due to what property, applied to the matrices below, do we know that A + B is a matrix of the same…

A: Given- Due to what property, applied to the matrices below, do we know that A + B is a matrix of the…

Q: Given two matrices A and B, how can you determine the order of AB, assuming that the product is…

A: Let order of A is mxnAnd let order of B is nxp (because product of AB is defined)

Q: Find the reduced echelon form of this augmented matrix 1 -2-1 350 5 -9 -5 400 1 - 2 300

A:

Q: For each of the pairs of matrices that follow, determine whether it is possible to multiply the…

A: The number of columns of first matrix (2) is equal to the number of rows of second matrix (2).…

Q: If a matrix A is 6x7 and the product AB is 6×5, what is the size of B? The size of B is

A:

Q: Explain why the matrix is not in reduced row-echelon form. 1 0 6 4

A: A matrix is in reduced row-echelon form when the first element of the first row is 1 and the rest…

Q: A clothing manufacturer makes trousers,skirts and blouses.Each trouser requires 20 minutes of…

A:

Q: For each of the matrices below, determine whether it is RREF. • If yes, copy the matrix on the…

A: A matrix is in RREF if it meets all of the following conditions: If there is a row where every…

Q: For this item, complete the choice matrix by clicking the appropriate answer in each row. Match each…

A: Each decimal to its equivalent fraction

Q: Given that A is a 2×4 matrix, B is a 3×4 matrix, C is a 3×2 matrix, and D is a 4×3 matrix, determine…

A: Given: A is a 2×4 matrix, B is a 3×4 matrix, C is a 3×2 matrix, and D is a 4×3 matrix.

Q: Perform the indicated matrix row operation and write the new matrix. 1 -4 5 10 -6R + R 4-3. 6. -1 2…

A: A matrix is set of numbers arranged in rows and columns. The order of a matrix is defined as number…

Q: The product of a 2 ´ 3 matrix and a 3 ´ 2 matrix is

A: When we do multiplication: The number of columns of the 1st matrix must equal the number of rows…

Q: If a building contractor hires 8 day laborers and 2 concrete finishers, his payroll for the day is…

A: Consider the rate of laborers is x units/day. Consider the rate of concrete finishers is y…

Q: Convert the given system to an augmented matrix. 2x, = -10 + X3 = -4x, + 2x2 -1 3x, - X2 + X3 = 4 -4…

A: The given system is  -4x1+2x2-2x3=-10     x1         + x3=  -1   3x1-  x2+  x3=     4

Q: Find the following matrix product, if it -9 = 3 6. 7. 3. 4

A:

Q: At a movie theater, the price of a child's ticket is $9 and the price of an adult's ticket is $12.…

A: The variabale x represents the number of chindredn tickets sold and y represents the number of adult…

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: The sum of a 2 ´ 3 matrix and a 3 ´ 2 matrix is

A:

Q: Explain why the matrix is not diagonalizable.

A:

Q: Find the transpose of the matrix. -2 -1 D = 1 4 -3

A:

Q: Find the product of the following matrices, if possble - 5 -6 6. 4 -8 -3 -9

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: Can you explain to me what happen if the matrix is not diagonal dominance ?

A:

Q: Write out the system of equations that corresponds to each of the following augmented matrices:

A:

Q: For the matrix A = 3 -2 1 and B = [3 1 2], find A. B" -1 130

A:

Q: For each of the pairs of matrices that follow, determine whether it is possible to multiply the…

A: The given matrix is 461211315416

Q: Could a 4 x 7 matrix have dim Col A​=5 and dim Nul A​ = 2?  Justify your answer

A:

Q: Diagonalize the following matrix. - 10 –24 2 4 P : D = p-1 –

A:

Q: In a special diet for a hospital​ patient, the total amount per meal of food groups​ A, B, and C…

A: From the given information, it is observed that the total quantity of a meal is 330 g.Let x, y and z…

Q: A small shoe company took out a loan of $1,500,000 to expand their inventory. Part of the money was…

A: The loan is $1,500,000 and the annual interest is $130,500. Let x be the amount of money borrowed at…

Q: Find the transpose of the matrix. -1 1 D = 5 -3 -2 4

A: Given D=-115-3-24We know that transpose of matrix A=1234 is AT=1432

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.