Consider the following information regarding the number of men and women workers in three factories I, II and III              Men workers   Women workersI                     30                         25II                    25                          31III                   27                          26Represent the above information in the form of a 3 × 2 matrix. What does the entry in the third row and second column represent?

Q: 1. Identify the two-by-two matrix with matrix elements a;; = ij. %3D 1 4 4 2 4. O (1 4.

A: NOTE: Refresh your page if you can't see any equations. . there are 4 elements in the 2*2 matrix,

Q: Consider the following matrix A, where 4 0 -7 0 0 3 -5 2 A = 7 3 -6 4 -8 5 0 2 -3 0 0 9. -1 2

A: A matrix is said to be invertible if it's determinant value comes out to be non-zero.

Q: 4. If det(Adj(A)) = then what is det (A-1) if A is a (4 × 4) matrix?

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Q: 2. Let the rref of a matrix A be, (1 0 0 1 2 0 -2 -5 0 -3 0 0 1 6. Determine A if the first, second…

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Q: The dimensions of the following matrix is: 2 6 11 4 7 8 1 0 6 7 4 2 [ L6 1 9-

A: dimensions of the matrix261478106742619

Q: Consider the following 3 x 3 matrix A and b in R, 1 -4 8 | A = 2 -3 2 1 5 -8 1

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Q: If A is an n×n matrix with Col A​ = Rn​, how many solutions will there be to Ax​=b​, for any b in…

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Q: Consider the following matrix A, where -2 4 -2 -4 A = 2 -6 -3 1 -3 8. 2 -3

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Q: The dimensions of the following matrix is: r2 6 11 4 7 8 1 0 6 7 4 862 1.

A: Clearly there are 5 rows and 3 columns.

Q: 2. А %3D [0.7 0.1 Lo.1 0.7

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Q: Show that AB and BA are not equal for the given matrices.

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Q: 2. Analyze first the given matrix and identify the most appropriate tool to use and why. -1 2 4 3 2…

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Q: Compute the indicated power of the matrix.

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Q: Consider the following matrix: Let A= [-26 -7] [-13 17] [6 -49] [35 45] [5 -4] Step 1 of 3 :…

A: Consider the given matrix A=-26-7-13176-4935455-4

Q: Consider the matrix. P = in order 4, where X1, X2, X3 and X4 are the matrix x4 rows of P. If we have…

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Q: Find the innverse of the matrix b: 5 0 6 9 1 2 3 4 9 3 5…

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Q: 4. Compute (A-1) and (A-I)°, where A is a square matrix and I is the identity matrix

A: I have append the the formula used and concept in the solution part for your convenience.

Q: Consider the following augmented matrix of an SLE in 3 variables. а 0ь 2 а 4 4 0а 2 Ь a Determine…

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Q: Tourism in the 1990s   Suppose the following table gives the number of people (in thousands) who…

A: First, write the given data into proper matrix form. Now use the properties of matrices to determine…

Q: Consider the multiplication AB is existing with the size (M × N) , where B is a matrix of size (L ×…

A: Consider the given information. The multiplication of two matrix is possible if and only if the…

Q: Compute the indicated matrix by using the following matrices. [ 1 -4 1 -5 0 6 A = 3 C = B = 6. 6 -1…

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

A: A=23100000-21140424 Now, R3→R3+R1 A=2310000004240424 C1→12C1 A=1310000004240424 R4→R4-R3…

Q: 3) Identify the element in the matrix. [O 2 4 6 X =0 3 6 9 0 48 12 X2,4 =h X3,2 %3D X3,4 %3D

A: NOTE: Refresh your page if you can't see any equations. . the element at the second row and fourth…

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: Enter a 3 x 3 symmetric matrix A that has entries a1 = 1, a2 = 5, a33 = 4, a12 = 0, a31 = 3, and a A…

A: A square matrix A is called a symmetric matrix if A=AT, i.e. a matrix is equal to it's transpose If…

Q: Find the LU-factorization of following matrix. 1 1 2 3 5 4 6 8 1 A =

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Q: 2. Let the rref of a matrix A be, 0 -2 0 1-5 0 -3 00 0 1 102 0 6 Determine A if the first, second…

A: Here given, A be a 3X5 matrix whose first, second and fourth columns are, 1-13,0-11,1-20 Also, row…

Q: Use the method of Example 6 to compute the matrix A10, where 1 0 6 2 A =

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Q: Compute the indicated power of the matrix.

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Q: Determine the dimensions of Nul A, ColA, and Row A for the given matrix. 12 -6 5 -3 0 0 A = 0 0 0 1…

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Q: Use the method of Example 6 to compute the matrix A10, where 1 0 A = -3 2

A: The given matrix is A=10-32. Observe that, A2=10-32 10-32=10-94=10-3·22-122A3=10-94…

Q: Given a matrix A = for what conditions on a, b, c, and d will the matrix not have an inverse?

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Q: Consider the following matrix: 3 4 A 1 2 -1 b -3 1 If rank(A) = 2, a + b =?

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Q: Write the given permutation matrix as a product of elementary (row interchange) matrices.

A: The given matrix is 001100010 To find is the product of elementary (row interchange) matrices. A…

Q: 8.) Find the LU-factorization of the following matrix 1 2 2 2 3. 1.

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Q: 6) Find the SVD of the matrix by manually calculating U 4 11 14 A = 8 7 -2]

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Q: 7. If a n x n matrix B is obtained from A, using only m number of row interchanges, then det A det B…

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Q: 3- If A² [45] [95] 091 (1 find A where A is UPF triangula matrix

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Q: Find the matrix A given that -1 2 (I2 + 2A)–1 4 5 O a. 1/13 2/13] -5/13 O b. [-1/13 5/13] 2 -1 4/13]…

A: The given equation is:…

Q: .

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

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Q: 29 What numbera in A-L makes A-QA@ possible (where Qis an orthognael matrix and A is an Zero or 1??

A: We shall solve this question by just using the definition of an orthogonal matrix. We know that a…

Q: 13. Reduce the following matrix to reduced echelon form and find its rank. 1 2 2 -1 -1 -5 1 2 3 4 -2…

A: According to question, Given matrix, 122-1-1-51234-2-3

Q: If A is what a matrix satis fying A3= A about det A7 %3D can you say

A: We have to find determinants

Q: If A, B, and C are 5 x 5, 5 × 2, and 2 × 9 matrices respectively, determine which of the following…

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Q: Use the following matrix. A = -1 −2 0 3 2 1 5 2 1 What is the sum of matrix A and its…

A: Given, A=-1-20321521

Q: 2. Let the rref of a matrix A be, 1 0 2 0 -2) 0 1 -5 0 -3 0 0 1 6 Determine A if the first, second…

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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.