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

Q: Consider the following matrix A-( ) %3D If the cigenvalues of matrix A are 4 and 8, then r = 5, y =8…

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Q: For matrix A, B if A – B = O, where O is a null matrix then * A = B B = 0 A = 0

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Q: 7. Given the following augmented matrix, list all the variables {x1, ... , X5}. Indicate which are…

A: We find free variables by using given augmented matrix.

Q: Decompose the given matrix as indicated: [25 5 0 0 141 0 0 4 1 U12 13 10 8 16 = 1 12 22 (31 (2 1 0.

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Q: What are the dimensions of the following matrix? 9 -9 -5 2 7 - 7 8 -2 -7 1 -2 3 9. -4 -9 2 -4 –2.

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Q: For what values of r and s is the following matrix regular?

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Q: Consider the given matrix A 4 -1 -2 5. 14 A= 9. -1 2.

A: Given matrix is A=4-1-22514-49-1. To evaluate the cofactor C23 of the given matrix. Solution:…

Q: What is the coordinate matrix that describes the following quadrilateral ABCD?

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

A: Please rate

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: A is an m x p matrix, B is a p x k matrix, and C is a k x n matrix. Show that A or (B or C) = (A or…

A: Introduction: Matrix multiplication is divided into two types: Scalar Matrix Multiplication, in…

Q: 2. А %3D [0.7 0.1 Lo.1 0.7

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Q: Reduce the following matrix to Echelon form and find out the rank: 3 -6 2 2 54 -15 42 24 21 -21

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Q: For the following matrix, A, A = 1 2 |3 1 1 1 1 1 2 1 | Q: What is the reduced row echelon form of A

A: To find Reduced row echelon form of the given matrix A

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: 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: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

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Q: Is the following matrix diagonalizable?

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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: 3. If A, B and C are matrices with orders, 3 X 3, 2 X 3 and 4 X 2, respectively, which of the…

A: Note: There are many subparts in the question. So I will answer the first three subparts.…

Q: What will be the rank of the matrix? [1 3 5 9 2 [1 5 2 0 0 0 0 0 15. 0 2 7-6 4 16. 019 0 05 0 0 8 7…

A: 15. Given matrix is: 1359200000027-6400879 The above matrix has 4 rows and 5 columns. So the order…

Q: Find the minors and co-factors of C2, C,2, Cy2, Cyy, Cy of the given matrix 7 -12 A = 8 -5 11 -9 -1…

A: To find the minors and the cofactors

Q: (6) If A is 3 × 3 nonsingular matrix, then A is row equivalent to 1 0 01 (a) |0 Lo o ol 0 01 1 [1…

A: A matrix is said to be singular if the determinant of the matrix is zero. So is the matrix is non…

Q: Given the matrix      A=       [4 -1   0   2] , then the trace of A^3 is?

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Q: The matrix A5 x 3 may have a rank = 4 %3D Select one: O True O False

A: Answer:   False  As rank of a matrix is always less than or equal m or n if order of matrix is m x…

Q: [1 1 1] L3 -2 3 1[k [k 1 1 -2||1 = 14 1

A: Given,           k11·10301-23-21·k11=14To find : The value of k that satisfies the following matrix…

Q: 1 Diagonalize the given matrix if possible: A 4 -1 1 0 4 0 D = and P 0 2 1 3 4 4. D = 1 and P = -4…

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Q: Which of the following matrices is not in Reduced Row Echelon Form? [1 0 4 31 [1 0 4 01 0 1 5 2 0 1…

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Q: If the dimension of matrix A is mxn, and matrix B is nx p, then AB is? (А) mxp B pxn c) nxm D) рхр

A: If the dimension of matrix A is M×N And matrix B is N×P

Q: If A is the matrix -3 4 3 A 3D 4 3. 1 12 and if 1 u = and V = 3.

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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: Given a 3x3 matrix that det (A)=8 find the valueb) of c if in terms of a scabrcand A=12 3. 24 C-2 3…

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Q: If A is n x n matrix, invertible, and B is n × n. Then Col(BA) =Col(B) O True O False

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Q: Decompose the given matrix as indicated: [25 5 41 [1 10 8 16 = 8 12 22 13 00 22 ls2 10 0 Us. Answer:

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Q: Find the minors and co-factors of C2, C2, C, C3, C23 of the given matrix 7 -12 A = 8 -5 11 -9 -1 -19

A: We know Minor, Mij is the determinant of the matrix obtained by deleting ith row and jth column…

Q: Which matrix is of the reduced echelon form? Oa. (1 2 04 0 0 2 7 Ob. 1 2 5 0 13-7 10 1 0 0 0 01 0…

A: To find the reduced echelon form of given matrices.

Q: [1 Find a matrix A = -4 -51 = l3. y] 1 z such that A² 10 %3D Lo 1. Lo

A: Given A=1xy01z001 A2-0-4-50010000=I3 To find Matrix A:

Q: 4. Find the LU factorization of the following matrix (1 1 1V A = 2 3 2 3 8 2

A: according to our company guidelines we can answer first question (if specific is not asked) or only…

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: 6. Find the rank and the nullspace of the following matrix: 1 0 1 A = -4 5 2 -2 5 4

A: Find the rank and null space of a matrix

Q: Determine the dimensions of the given matrix G -3 15 0 G = 0. 3 3 1 -1 6 O 3 X 4 O 4 X 3 4X4 12 X 0

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Q: Given the Matrix Below A = 5 7 10 -2 7 9 O -1 -9 0 9. a. [A]/[B] b. [B]/[A] 9 11 0 6 B = -2 6 2 5 9…

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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: Given the matrix a – 2 3 - a 4+ a A = a +5 2а +9 -а-1 2а- 3 3+а 8 - a 1+ a For what values of a is A…

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Q: 1. A is a 22 matrix and det (A) - 4. what is det (3A)7 O 12 O 24 O 16 O 36

A: det(A)=4

Q: 1. If A is 3x3 matrix with det(A) = 5 then det(3A) %3D O 3(5)=15 9(5)= 45 O 27(5)= 135 5(5)(5)= 125

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Q: Which of the following matrices is not in row-echelon form? (:) 10 2 4Y 0 0 1 5 0 0 10 W1 0 2 4 B)…

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Q: For which value of k is the following matrix NOT invertible? [1 2 3 1 A = 0 -3 -4 5 -4 k 1 -1 7 3 1…

A: The given problem is to find the value of k for which the given matrix is not invertible.

Q: -11 -8 -9 -7 -4 6 7 10 Consider the block matrix A = What is A11? -2 -6 11 12 5 -1 1 4 A11

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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.