Given the matrices below and that A = LU, complete L-1,U-1,and A-1 1 0 0 L = |1 1 1 4 -1 1 4 A = 1 -6 U = 0 1 -5 || 2 13 -26 2 5 1 0 0 1 1 1 L-1 = -1 1 U-l = %3D |-5 1 A-1 = %3|

Q: Find the inverse of the matrix A, if it exists. 8 -5 3] A = 14 -9 6 6 -4 3 1 1 1 8 14 3 1 1 O A. A1…

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Q: Which of the matrices 1 1 1 01 1 E = 2 -5 E2 = 1 Ez = E4 = -2 1 -6 1. 1 1 are elementary matrices?…

A: The elementary matrix is the matrix obtained from the identity matrix using the elementary row…

Q: Given the matrices below and that A = LU, complete L-1,U-l¸and A-1. 1 5 -1" U = |0 1 0 0 1 5 1 A =…

A: Given matrix L as  L=100-610421 to find the inverse L-1 proceed as follows  L=100-610421100010001…

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

A: Matrix A represents the number of people(in thousands) who visited Australia and South Africa in…

Q: Find the matrix product AB, if it is defined. 3 -2 0 -2 A= 5 B = 2 6. ... O A. - 18 - 4 OB. 0 4 - 10…

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Q: Given the matrix below and its corresponding rref(A) and rref(A') 1000 2 -1 -3 (10000 8 0100 3 A = -…

A: Use the given information.

Q: 7. Give the two matrices, [1 2 3] A = |1 1 2 and B= 2 1 2 0 1 2 [1 1 1 3 1 2 (a) Find det A, det B,…

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Q: find A*B and B*A for the matrices A= 10 1 2 1 1 3 2 -1 B= 0 0 3 1 2 4 -1 -1 0

A: We have to find AB and BA for the matrices                                             A=10121132-1…

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

A: Let A be the 3×2 matrix whose entries are the 1998 tourism figures and B be the 3×2 matrix whose…

Q: Find the matrix product AB, if it is defined. -2 3 -2 0 A = B = 3 2 -1 1 O A. 4 0 O B. 1 3 -3 2 -8 2…

A: A = -2332B = -20-11

Q: Let A, B and C be matrices of type 2 x 3, 3 x2 and 2 x 2 respectively, such that det(AB) = -3 and…

A: Solution

Q: Given the matrices below and that A = LU, complete L-1U-l,and A-1. 1 -6 -2 1 1. A = 1 -5 -5 L = 1 1…

A: Here we have,  A=1-6-21-5-5-4270, L=100110-431 , U=1-6-201-3001 Given:-  A=LU

Q: Find the characteristic equations of the following matrices: (a) 1] -2 1 0 -2 0 1 4 0 0 -5 (b) | 3 1…

A: Since you have posted multiple questions with multipart and we can answer one question and its three…

Q: Which of the following matrices fit the Echelon form? [830 1 A=|040 –1 |0 0 0 3 [138] B=|00 2 0 00 O…

A: Here we will find which matrices fit the Echelon form,

Q: Let A, B, C be (3 x 3) matrices, such that det(A) = 2, det(B) = 7, det(C) = 1. What is the value of…

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Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A" A-1)?

A: Given that A,B and C are 3*3 matrices. To find det(A^TA^-1)

Q: ()- 40 0 0 3 0 0 0 4 300 1 4 0 5 0 4 (4) Consider the following 2 matrices: A = and B Then A is…

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Q: consider the following matrices with given dimension А: 3 х 4 B: 3 х 4 С: 4 х 2 D: 4 x 2 E: 4 x 3…

A: we have to find order

Q: Which of the following matrices is NOT symmetric? 1 0 0 0 0 1 0 1 O[ 5 6 7 6 3 2 7 2 1 7 -1 7 3 -1 0…

A: Consider the matrix 010000101 in the first option. For a matrix A to be symmetric, its transpose…

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: 2 -1 4 -0.5] -5 A = -1 1.5 0.25 1.5 C 4 B -3 2.75 0.1 -7 -0.5 0.2 1 1.5 5 -15.2 -0.4] 7 0.6 2.7 D =…

A: Given some matrices. (1) Find the difference between matrix H and E Given matrices are…

Q: In which of the following reduced augmented matrices is the number of leftmost ones less than the…

A: Calculation:The following observations are made from the given augmented matrices.The matrix A has 3…

Q: Given the matrices below and that A = LU, complete L-1, U-1, and A-1, 1 -3 -2 1 -3 -2 A -5 16 12 L =…

A: Given The given matrices are A=1-3-2-516121-4-3 L=100-5101-11 U=1-3-2012001 For the inverse matrix,…

Q: Consider the matrices of A= and B= The AB A I. II. IV. Select one: Oa. V O b. IIII Oc. O d. II Oe.…

A: Given : 2x2 matrices A and B  To find : AB-1AT = ?

Q: Consider the matrices shown below: Compute CT-A 3 07 A = -1 2 E -B C = 13] 3 1 5

A: Given: A=30-1211, C=142315

Q: 3. The following matrices are elementary matrices except (a) 1 0 1 0 (b) 5 1 (3 (c) 1 (d) -3 -

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Q: If AB=AC, where A, B, and C are matrices, then this implies that B=C. O True O False

A: A-1A = A A-1 = I  Where A-1 = Inverse of A               I = Identity matrix

Q: Let A ГО -2] [1-3] = Find two different diagonal matrices D and the corresponding matrix P such that…

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Q: Consider the matrices 3 0] -1 2 1 1 [1 4 2] A= B= C= 3 1 5 15 2] -1 0 1 3 2 4 6 1 3] D= E = -1 1 2 4…

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Q: 3. For each of the following pairs of matrices, find an elementary matrix E such that EA = B: 2 -1…

A: Given the pair of matrices :

Q: 10. Given that A and B are square matrices of order 3. If |A| = 3 and |B|= 1 then A. 2A 4B| = (-4)23…

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Q: Which of the following matrices is in Row Echelon Form? 1 0-4 01 0 0 0 1 0 0 None of the mentioned…

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Q: Let A, B and C be matrices of type 2 x 3,3 x 2 and 2 x 2 respectively, such that det(AB) = -3 and…

A: Explanation of the answer is as follows

Q: 1.1. Transform the following matrices to echelon matrices using row oper- ations: 2 5 (a) -1 1 1 2 3…

A: To transform given matrices into row echelon form.

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: Find AB, given the matrices below: 4. 26 -191 А. -10 -10 11 11 8 26 -19 -19. 11 С. 26 -10 8. 8. D.…

A: To find the product of given matrices.

Q: For each of the following pairs of matrices, find an elementary matrix E such that EA = B: %3D -4 2…

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Q: H.W 1-: The matrices A to K are -1.3 7.4 3 A 3D -4 B = -1 D = 2.5 7. 6. -3.9 4 -7 6. 3 3.1 2.4 6.4 D…

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Q: Given the matrices below, 6 4 A = 3 5 1 В — 9 7 10 1 3 C 6 4 2 0 8 11 5 2 it D = A – C, then the…

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Q: Let A, B and C be the matrices A= 0 -7 8 0 0 2 Calculate |ABC). 20 -1 -24 √20 0 Vào 00 CH c-{" 0 1…

A: Given, A=15-10-78002,B=-200-120-2401'C=100001103010

Q: 3. Given A and B are 3x3 matrices with det A = -2 and det B = 3 compute the following and show what…

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Q: Which of the following matrices is singular? O a. -1 0 3 1 4 -4 2 2 O b. 1 2 3 1 1 -1 2 22 Oc/-1 3…

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Q: Which of the following matrices are singular? a) 2 -1 b) 3 A= 0 -1 4 B= 6 3 2 d) D= 24 10 3 -1 2 -1…

A: We need to find whether given matrices are singular or not. We know that , A square matrix is…

Q: Compute the matrix (BA')', if it exists, when the following matrices are given. - 1 1 A = -1 0 B= 0…

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Q: Let A, B, C and D be the matrices defined below: 0 -2 √√3 A: +-67²- | √3 0 -2 2 3 0 (a) Compute det…

A: We have given matricesA=0-230, B=0-2330-2230, C=0-10-102+1-102, D=01-20300100-10-1000

Q: Consider the given matrices and answer the following four equation with respect to given matrices:…

A: Given that:                                     A=21-1-110B=02130-1

Q: Suppose A is a 3 x 3 diagonalizable matrix that diagonalizes to D. If i and w are both non-zero,…

A: We will find out the required possible representation of matrix D.

Q: Answer all the following questions: 1. Compute the product of the two matrices below, A and B 3 21…

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Q: Given the matrices below, which of the following is true? [2 [A] 15-3 8 0 41 (C] = { 4 15 -3 10 04…

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