1. Use the following matrices to compute the indicated expression if it is defined. 01 1 27 6. 1 A = -1 2), [4 B = [1 C = 4 21 E = |-1 D = -1 11, 1 01 2 13 1 5. 3 41 4 i) C(BA) ii) C(DE) iii) (2E" – 3D")" iv) tr(DE") v) (C"B)A" vi) tr(CTA" +

Q: Suppose A ,B and X are matrices such that AX - A = B , where 1 1 -2 -13 4 -5 1 2 A = 3 B = 3 1 20 ,…

A: Do as given in the question than verify it is true or false.

Q: 2 Let U = { A E M55 : A| 3 ,where M55 is the set of 5 x 5 4 5 matrices. Then dim U O 10. O 15. 5.…

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Q: a) Consider the following matrices: 1 0 01 A =| 2 [1 0 01 0 0,B = |o 0 o,C Lo o 1. [o 0 01 2 ,D = |0…

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Q: [3 10 4 2 3, L06 1 402 Given the matrices C = D = 5 1 1 Compute CD'. 3 2 1 O 12 5 07 0 26 0 61 -26 -…

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Q: (b) Consider the following 3 x 3 matrices: 1 2 3' A = | 4 5 6},B= 0 3 0 7 8 9 '1 0 ' -1 0 1 0 5 6 3…

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Q: A number of matrices are defined as [4 5] [A] = 1 2 L5 6] [4 3 71 [B] = |1 2 6 l2 0 4] Perform the…

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Q: (2) Which one of the following matrices is invertible? 21 (a) 10 -1 23 [4 1 -3] 0. -6 1. (е) 2 (c) 1…

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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: 1. Consider the matrices: 1 [2 1 3 A = - 1 B = C 1 - 1 %3D 4 0 - 1 1 6. Compute the following: (a)…

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Q: a) Consider the following matrices: [1 0 01 0 0 ,B = |0 0 0,C Lo o 1 1 0 0] 1 2 -1] A =| 2 -1 2 1] 2…

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Q: (35 Calculate the inverse matrix of Q if O= 2 OA 42 5 3 O B. 2 3. -1 2. 3 5 2 4 OD. 4 -5 -2 3 OE (2…

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Q: Let M, N and K be matrices of type 3 x 2, 2 x 3 and 3 x 3 respectively, such that det(MN) = 2 and…

A: Determinant properties help to find the determinant of the given matrix. Determinant property for…

Q: 3. Show that A and B are not similar matrices. [1 A = 0 2 1 -1 Lo 14.8= [2 1 1] 1 0 L2 0 1 ,B= 0

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Q: One of the following matrices is not invertible 4291 0037 4 1] a) 0054 b) 5 6 0 0 0 6 2777 4000 0587…

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Q: 3. Compute the indicated matrices if: [1 A = |0 -1 17 2 B= c=| 9 D=; : [1 2 -1 li 0 [1 3 14 2 a) ЗА…

A: From the relations of matrices;   A-BT=AT-BTATT=A   Given; A=120-170…

Q: 2.10 Determine which of the following matrices are symmetric and which are antisymmetric: 1 2 (b) 3…

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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: 11. Which of the following matrices are invertible? [1 2 3 (a) 2 4 -7 36 4 3 (b) -1 5 0 3 0 0 [1 2 3…

A: The given matrices are: a) 1 2 3      2 4 -7      3 6 -5 b)  4 3 0       -1 5 0        3 0 0 c)  1 2…

Q: , suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (4 x 5) (4 x 5) (5…

A: Rules for matrix algebra: 1 Two matrices A and B can be added and subtracted if and only if both the…

Q: One of the following matrices is not invertible 4 29 17 0037 a) 0 054 41 b) 56 00 06 [2777] 0587 c)…

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

A: A square matrix is said to be singular if it is non-invertible. To determine if a matrix is…

Q: Suppose A, B and X are matrices such that AX - A = B where 0 1 0 1 -2 13 4 -5 1 2 A D 3 B = 1 20 ,…

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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: Suppose A , B and X are matrices such that AX - A = B, where 1 -1 3 4 1 20 4 5 6 -5 1 2 1 -2 1 A = 3…

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Q: 1 2 Let (A-21)-1- 3 4 where / is the identity matrix,then AD Select one: a. -2 1. 3 b. 4 -2 -3 C. 0…

A: A detailed solution is given below.

Q: 3 1] Write X = as a product X =E,EE3 of elementary matrices. %3D 50 E = E2 = ,Es= 00 %3D

A: The given matrix is: X=3150

Q: Compute A +B

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Q: 1. Compute the condition numbers of the following matrices relative to || I. [] [ 3.9 1.6 b. a. 6.8…

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Q: [4 [2 1 B = Given the following matrices: A %3D %3D l6

A: Given matrix is A=412−3 and B=206−2. We have to find the transpose of the matrix A and B.…

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: [1 0 1 Consider the matrices A = 0 0 0 [1 2 30T B =0 1 20 %3D Lo 1 1 0 1. [1 C =0 0 01 1 0 0 4] And

A: conditions of a echeleon form- 1)-leading element in a row should be 1. 2)-number of zeroes before…

Q: 2. Consider the following matrices: 1 -2 A = В C = 4 2 -3

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Q: 1. Use the following matrices to compute the indicated expression if it is defined. [ 3 A = 15 21 6…

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Q: Create the following matrix H: 1.25 1.5 1.75 2 2.25 2.5 2.75 H = 1 3 1 2 3 4 45 40 35 30 25 20 15…

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Q: If A, B are 3 x 3 matrices such that det(AB)-1)% = det(adj(A)) = 25. Then det(3A". (B)-') 20 and O…

A: We are given that A and B are 3x3 matrices. We are also given that detAB-1=120 and detadj(A)=25.…

Q: 6. Compute the inverses of the following matrices by hand calculation: 0 1 1 0 1 1 2 1 3 9. 3 1 1 4…

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Q: 4. Given the following matrices: 11 1 11 1 1 1 3 B = | 0 -2 2 1 [2 1 -1 1 A = 8. C = 4 D = 10 2 0 1…

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Q: If A, B are 3 x 3 matrices such that det(AB 1) = 12 and det(adj(A)) = 16. Then det(3A". (B)1) %3D

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Q: 1) Compute the indicated matrices if: 2 D = ; 3 2 A = |0 -1 B = L7 a) ЗА + DT b) (B – C)" c) (D –…

A: Since you have asked multiple questions with multiple parts, we will answer the first question. If…

Q: Find the inverse A of the following matrix A. A = 526 2 13 0 1 -2 O a. A- = -3 -2 5 %3D 1 0 O b. A-1…

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Q: 24 - Which of the following is a unit matrix? [1 0 01 a) 0 1 0 lo o 1l [0 1 O B) 0 1 Lo 1 ol [1 1 1…

A: Unit matrix is the matrix in which all elements are zero except  the elements  in main diagonal ,…

Q: Consider the matrices shown below: 1 27 D=-1 01 3 24 Compute tr(DET) 6 E = -1 4 13] 1 2 1 3

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Q: 1 6 Suppose that A = 2 and B = 4 1 *| If l is the 2 x 2 3 2 dentity matrix, then compute (A + /)B.…

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Q: One of the following matrices is not invertible 4 2 9 1 0 03 7 4 1 a) 0 0 54 b) 5 6 0 0 0 6 2777 40…

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Q: 1. Use the following matrices to compute the indicated expression if it is defined. 3 5 21 1 D =|-1…

A: The matrix product can be calculated by multiplying the row of the first matrix by the column of the…

Q: Use the following matrices to compute the indicated expression if it is defined. 1. (С"В)A" 3 1 4 A…

A: 1. (CTB)AT = 142315T4-10230-1211T              = 1341254-1023-11021              = 4516-2883-11021…

Q: Let A,B, C be 2×2 matrices where B= - /2 A, det A=2 and det C = – 8 Then det (8 A ³ (B-1)™ c-2) = O…

A: We know that; The rule of determinant; 1). detkA=kndetA ; n is the order of the matrix 2).…

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

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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.