The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their selling prices are $80, $60 and $40 each respectively. Find the total amount the bookshop will receive fromselling all the books using matrix algebra.Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 and p × k, respectively.

Q: Suppose A, B, and C are all n x n matrices, then a. A 0 = = -|A| x |C| в с B C A 0 с В 4 n B C Rx C…

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Q: |, and d(A, B) for the matrices in M2.2 using the inner product (A, B) = 2a11b11 + a21b21 0 0 B =

A: We have to find the following given condition

Q: Determine whether each of the following statements is true or false, and explain why.If A is an n *…

A: The given statement is, If A is a n×k matrix and B is k×m matrix, then AB is a n×m matrix.

Q: Find the echelon form of this augmented matrix, written so there are 1's on the diagonal. 1    -1…

A: Please rate

Q: Determine whether the following matrices are in echelon form, reduced echelon form or not in echelon…

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Q: The rank of the matrix a = b = c is: 1 a b a² 6² 1 1 C where

A: Given :          matrix =[111abca2b2c2]Also given :  a=b≠c

Q: Determine whether the following matrices are in echelon form, reduced echelon form or not in echelon…

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Q: Let A be an n xn matrix andB=A+1, where / is the identity matrix, then it is possible for A and B to…

A: False

Q: 3 0 A =|-3 7] 1 -1 2 4 91

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Q: Determine if the following operation on the two given matrices is defined, and if it is, determine…

A: [2    -2    0]          [-8] [2    -1    6]          [2] [-7   -7   -3]         [7] [0    -9    6]

Q: We will define a checkharel matrix to be a Square matrix A = (d), where di; = { 1 if it; is even Lo…

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Let A, B, C, D be n x n matrices, each with non- zero determinant, If ABCD = I, then B-l is

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Q: If A=2B where A and B are square matrices of order 3x3, and det(B)%3D5, what is det(A)? Select one:…

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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: Select the pair of matrices, A and B , for which AB = 0, even though A + 0 and B 0. 6 4 1 -1 O A =…

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Q: Suppose that A&B are n x n matrices and A² B = I, then O a. A-1 = BA %3D O b. A-1 = AB %3D OCA-1 = A…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose A= #B+C where B is symmetric and C is skew-symmetric matrices, 56 B = b12 then byn %3D O a.…

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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: Let A be a 3x3 matrix, and suppose that the matrix B is obtained from A by the following row…

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Q: give the rank and the nullity of the matrices in the given exercises.

A: The matrix

Q: If A is a 5 x 5 matrix, B is a 2 x 5 matrix, and C is a 3 × 2 matrix, which of the following matrix…

A: 1. A set of numbers arranged in rows and columns so as to form a rectangular array is said to be a…

Q: Determine whether the following matrices are in echelon form, reduced echelon form or not in echelon…

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Q: Suppose A is a square matrix. Show (a) A+A" is symmetric, (b) A – A" is skew-symmetric, (c) A= B+ C,…

A: Sum of symmetric and skew-symmetric matrix is matrix it self. Like for matrix A, Symmetric matrix =…

Q: If A and B are 5 × 4 matrices, and C' is a 3 × 5 matrix, which of the following are defined? DA. В +…

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Q: If A and B are square non-singular matrices of the same dimension. Which of the following statements…

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Q: A clothing manufacturer has factories in Atlanta, Chicago, and New York. Sales (in thousands) during…

A: We use matrix multiplication.

Q: If A is an m X n matrix and B is an n x p matrix, matrix. To find in matrix A then AB is defined as…

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Q: If A and B are row-equivalent matrices, then they must have the same rank. True False

A: Our guidelines for multiple questions, answer only first question  Answer = (8)  If matrices "A"…

Q: If A and B are n x n symmetric matrices, then AB is symmetric. ... (A) True B) False

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Q: determine which of the following matrices are nonsingular:

A: to determine the matrix which is non singular.

Q: If A is an m x p matrix and B is a p x n matrix, then their product AB will be?

A: Two matrix can only be miltiplied if number of column of first matrix is equal to number of row of…

Q: The dimension of the space of upper traingular 4x 4 matrices is Select one: O a. S b. 16 с. 10 d. 4

A: A square matrix A is called lower triangular if all the entries above the main diagonal are zero.

Q: What is the linear combination of the matrices аnd

A: The explanation are as follows

Q: If A, B, C and D are invertible matrices of same size such that DCBA(BA)-'C-'(C-'D)-' = DA='C². %3D…

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Q: Given the matrices below and that A = LU, complete L¬1,U-1, and A-1. 1 -2 -1 1 01 -2 -1° A= 2 -3 -5…

A: We use Gauss elimination method to find L-1, and U-1. After that by using (LU)-1=U-1L-1, we find…

Q: Let A, B, C be n x n matrices. Show that if A is similar to B and B is similar to C, then A is…

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Q: If A and B are 2 x 8 matrices, and C is a 9 × 2 matrix, which of the following are defined? А. А C…

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Q: if A and B are n X n matrices of rank n, prove that AB has rank n

A: Given: A and B are matrix has rank n. To prove: AB has rank n. Formula used: A'A=I where A is any…

Q: If A=2B where A and B are square matrices of order 3x3, and det(B)%3D5, what is det(A)? Select one:…

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Q: Consider the following two matrices: -1 4 1 A = 1 В — 3 1 0. - 3 -1 -2 1 Which of the following four…

A: Given matrices are: A=-142-130 and B=210310-1-21 We know that product of two matrices exists if the…

Q: -i 1. Jo -2 li 4 - i 4 +i [7 2. 0 -2 10 [4 10 4 5 3.

A: Real matrix⇒ A real matrix is a matrix whose elements consist entirely of real numbers.   Symmetric…

Q: Imagine you have matrices A, B, and C, which of the following is false? The transpose of a sum of…

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Q: Given the matrices Anxm, Bnxp, Cnx n ₁ Dm x p , E p : ‚ B₁ x p ₁ C ₁ x n , Dmxp , Ep xn and Cnxn is…

A: Note: Inverse of a singular matrix does not exists.

Q: Let A be an n xn matrix and B= A+1, where I is the identity matrix, then it is possible for A and B…

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Q: Find the matrix product AB, if it is defined. 3 -2 1 B: 3 0 4 - 3 -2 3

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Q: The dimension of the space of upper traingular 4 x 4 matrices is Select one: O a. 8 b. 16 с. 10 O d.…

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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.