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 L = 2 1 U = |0 1 -3 -4 2 23 -4 -6 1 L-' = Ex 42 1 U-l = |0 1 A-1 =

Q: 3: For the matrices, A = [1 and B = 01 -31 (a). Show that, (A+ B)" AT +B". (b), Show that, (AB)-1 =…

A: Show that  a) (A+B)T= AT +BT  b) (AB)-1= B-1A-1  For the matrix A and B .

Q: Which ofthe following is a product of elementary matrices for the matrix A. a) T-1 b) T-1 -1] c)…

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Q: Using the matrices -3 -2 4 0 -2 -1 D = -3 -3 2 E -3 3 4 0 -1 -4 2 1 1 compute the following. tr(2E"…

A: We have to find tr(2E^T-D).

Q: Find i from the equation provided for the matrices. (AB)-Ct=D 4 - i 6i 2 - i 2 + 3i 3+ 2i 5 + 3il 0…

A: AB-CT=DFirst, find AB=?AB=4-i6i32-i2+3i3+2i-4i5+3i1052-13      =…

Q: (c) Find A-1 and B-1 using the adjoint matrices you found in part (b).

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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: - 25 4+5z 3 5 6 [3x-5 o -2 35 -j-3y -4 - 20 3+2+ 48y 17 8 0 -3x+5 -43x+10 22 8 2 3-8 1 8 -2 8 7-42…

A: We have to find the values of x, y, z.

Q: 1) Below, we have a 4 x 4 matrix ,"E", and its inverse. Verify E x inv(E) is a 4 x 4 Identity…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: H.W 1-: The matrices A to K are -1.3 7.4 3 A =D -4 -1 5 B = -1 D = 7. 2.5 -3.9 4 -7 6. 3 6. 3.1 2.4…

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Q: or the giren m diaey that ( RS)*=5"" and UEP)e = p*t matrices, yenfy 2. E = 3-2i 273i 41 i P=1-i --…

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Q: I. Given the matrices below, compute for the matrix operations asked from No. 1 to 5. A = 20 B =| 4…

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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: Given the matrices below and that A = LU, solve Ax = b. 1 3 4 A = -3 -8 -16 b= 1 1 13 25 1 3 4 U =…

A: We have to solve given problem:

Q: Perform the indicated computations when possible, using the matrices given below. (If an answer does…

A: The objective is to perform operation(s) mentioned in each part. For part (a) Find:

Q: Using the matrices 3 -1 3 -3 -1 4 D =-2 -3 0,E = -2 -1 2 4 3 1 4 -4 4 compute the following. tr(6E"…

A: Trace of matrix is sum of its Diagonal elements

Q: Given bases 2 -2 C = { for R. 2 -2 1 find chang-of-coordinates matrices Pc¬B and PB-»c•

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Q: -3 1 2 -4 1 2 - 9 1 4 Given that A and B 41 -4 -18 find two elementary matrices C and D so -30 1 3 1…

A: We are given:A= -3120-412-301                      B= -91441-4-18-301Now , elementary matrix are…

Q: snip

A: Given matrices are 110-1 , 1-110 and 1032 Writing these in the form of linear combination x* 110-1 +…

Q: Let A and B be 4 X 4 matrices with det A = 2 and det B =-1/4. Find det C for the indicated matrix C:…

A: Solution: Consider the given matrices A and B, 4x4 order with det A = 2 and det B = -1/4. And given…

Q: Perform the indicated computations when possible, using the matrices given below. (If an answer does…

A:

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: 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: 3. On the basis of the matrices given in Example 9, is the product BA defined? If so, calculate the…

A: Matrix multiplication: Let us consider two matrix A and B  of order m x n and p x q  then the matrix…

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: for any conformable matrices A, B, and C, the equation (ABC) = C'B' A' holds. 4. Given the following…

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Q: H.W 1-: The matrices A to K are 3 -1 [-1.3 D = 2] 7.4 A B = !! -1 6 2.5 -3.9 -4 7 T 3.1 2.4 6.4 -7…

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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: (A8)", (^)*, * (21)*". Use the inverse matrices to find and 1 3 1 4 2. 4 2 A-1 = 1 1 B-1 2 4 2 4 3 1…

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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: Suppose A-(5 =B+c Where Bis symmetric and Cis skew-symmebrie matrices, Be (b biz E ) fm the elemente…

A: Given: B is Symmetric and C is skew symmetric

Q: 7. Find values for x and y that will make the matrices equal. X = y = T AM H. 1 x+y 3+x 3. 4 -2 5y…

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Q: 3) Consider the following 2 × 2 matrix: [6 2] A = 0 1 Answer the following questions: 3.1) Find…

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Q: Question 13 Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix…

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Q: For the given matrices, find (AB)-¹ 2 5 441 B -7 7 6 35 17 B) 4 10 A) 35 10 4 17 11 2 C) 3 3] 0 4 17…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 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…

A: Given that A=14-115-6213-26 and A=LU where L=100110251 and U=14-101-5001

Q: Find all a and p> 0 so that the matrix 4 1 28 5 4 B 2 a A = is strictly diagonally dominant. 0 < 3…

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Q: Question 10 Consider the matrices X,Y and Z below: --[::]-[1:]--[:::] b d c X and Z = c d ba hij If…

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Q: - 4 Let B = {b,,b2) and C = {c1,c2) be bases for R2, where b, = and c2 Find the…

A: Solution by using linear combinations of vectors

Q: Find the Frobenius distance between the given matrices. -10 18 18 18 1, A = B = 3 7 -69 18 V18 18 18…

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Q: -1 -3 4 -3 4 For the matrices A =| -2 5 6. and B = -2 5 -4 show that | BA|H 4|| B | . -3 4 -2 -1

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Q: 13. [R] For each of the following 2 x 2 matrices, draw a picture to show Ae1, Ae2, Ab, where e and…

A: We will use basic linear algebra. And basic graph technique.

Q: -1 Find the matrix P that diagonalizes A = -2 and the resulting diagonal matrix D. 3 -1 D = P = Ex:…

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Q: 1) Below, we have a 4 x 4 matrix ,"E", and its inverse. Verify E x inv(E) is a 4 x 4 Identity…

A: E=Ar0r0r0rBrBr0r0rCrCrCr0rDDDDinv(E)=1Ar0r0r0r-1Ar1Br0r0r0r-1Br1Cr0r00-1C1DE×inv(E)=Ar0r0r0rBrBr0r0…

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 elementary matrices? Select one: O a. Non of the mentioned, 2 0…

A: Given : To determine the elementary matrix from the given options.

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: For the given matrices, find (AB)-¹. 7 2 5 B-1 = | 4²¹-[ -7 6 2 0 B) 17 C) A) 35 10 4 17 35 17 4 10…

A: (AB)-1= B-1 A-1

Q: For this reason it is called the Lorentz matrix for the velocity v. (hint: Substitute 2 – 32 = 1 and…

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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.