4. Verify whether the two given matrices are similar. Justify your an- Swers Question a. 1 1 3 and B = 1 A 0 4 2 2 Question b. 1 1 2 1 0 0 2 1 and B = -1 2 1 %3D %3D 0 0 2 0 1 2

Q: 1   D =    1 −1 5   2 3 1 −1 2 4 What is the size of each matrix? A     × B     × C     × D     ×

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Q: [4 Given the following matrices: A = 1 ,B :

A: Using definition of Transpose of Matrix.

Q: If A and B are invertible 4 × 4 matrices, which of the following statements are always true (i)…

A: To find the true statements of matruces

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: Which of the following matrices are similar to a diagonal matrix? 2 3 0 2 3 (a) 0 1 0 (b) 0 1 Lo o 2…

A: Given:Diagonal matrix:Diagonal matrix is a diagonal matrix when all entries  that are not on the…

Q: If A and B are (n x n) matrices, then e"e a) True b) False

A: Any expression written in the form of ex form is known as exponential form. Property of exponential…

Q: Which of the following matrices are diagonalizable? Justify your claim. 5 -18 -32 a. M, = 0 5 4 2 -5…

A:

Q: consider the 2 × 2 matrices A b C d where a, b, c, d ∈ {1, 2, 3}. If you were to form a matrix at…

A: Each of a,b,c,d has 3 choices. So there are 34=81 possible matrices.A matrix will not have inverse…

Q: 2. Let a = 2 and b = Calculate the following matrices. *a. aa c. b'b e. abT *f. a'b *b. ala d. bbT

A: As per guidelines only three sub-parts can be solved in one answer. For further solutions please…

Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

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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: 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: Suppose that both A, B ore 2x2 matrices such that det (A) = 2, det (B)=6. Then det (AB) = %3D det…

A: As per our guidelines only 3 sub-parts can be solved: Solving 1st three sub parts in the steps…

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

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Q: Since A and B are orthogonal matrices, which of the following statements is always true? I ...…

A: List the properties of orthogonal matrix. i) AAT=ATA=Iii) AT=A-1 Consider Option 1,…

Q: Select the pair of matrices, A and B , for which AB = 0, even though A + 0 and B 0. 6 4 1 -1 O A =…

A:

Q: Suppose that A&B are n x n matrices and A² B = I, then O a. A-1 = BA %3D O b. A-1 = AB %3D OCA-1 = A…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose A= #B+C where B is symmetric and C is skew-symmetric matrices, 56 B = b12 then byn %3D O a.…

A:

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: , 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: 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: (b).Use the matrices а A d and 5 3 В 4 7 to illustrate Det AB Det BA det A. det B.

A: The matrix AB and  BA are:…

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: Given matrices a1= 0  1    -1  0, a2 = 1  0    0  1 and a3 =1  1    1  1 are matrices b =1  4    2…

A: The matrices a1 , a2  , a3  is given and if b and c are in the span of the matrices then b and c can…

Q: Compute the indicated matrices, if possible.…

A: Given A=1235 B=20-13-34

Q: Given the following matrices Find the following: 1. A --C 2 2. B¹ + A A = D = 4 3 5 4 1 0 5 = -2 -4…

A: We have given the matrices A,B and C and we want to compute the given matrices expressions.

Q: Refer to the following matrices. A = 3 −2 9 −4 −16 7 3 3 4 0 9 7 4 2 5…

A: Consider the matrices, A=3-29-4-167334097425-10 The size of a matrix is defined by the number row…

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 1 5 2 -5 1 B = C = 6 4 5 2 ]' 2 3 Compute the indicated matrix. (If this is not possible, enter…

A: Topic - matrices In transpose of matric, rows and columns of matric are interchanged

Q: Compute A +B

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Q: Which of the following matrices are guaranteed to equal (A - B)2 : A2 - B2 , (B - A)2 , A2 - 2AB +…

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Q: Suppose A = = B +C where B is symmetric and Cis skew-symmetric matrices, (5 6 b b12 b12 b2 then %3D…

A: Matrix A is symmetric if and only if  AT= A Matrix B is skew symmetric if and only if  BT= -B…

Q: Let A and B be the following matrices, where the echelon matrix B (whose pivots are circled) is an…

A: a) row operations do not change the row space, so the rows of the matrix at the end have the same…

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: Compute the indicated matrices, if possible . A2B

A: GivenA=1235 , B=20-13-4To compute A2B

Q: 30. Which of the following matrices is not diagonalizable? 20 [3 2 5 (a) 04 7 (c) 0 10 09 001 [2.0…

A: See the details solution in below

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 2 3 5 6? Which of the following matrices are submatrices of A = 4 7 8. [; } 1 2 (c) 8 1 (a) 3 4…

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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: 3. If A and B are two matrices of size 4 x 4 such that Det(A) = -3 and Det(B) = }, then Det(24)-(4B…

A: (3).  Given: A is 4×4 matrix.Det(A)=-3Det(B)=32

Q: Show that AB and BA are not equal for the given matrices. 1 1 4 B = 1 1 4 4 A = 1 1 4 5 1 1 4 4

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Q: for the non-nill matrices A and B, which of the following statement is true  A -B = -B +A A-B =…

A: Consider the given information. We will check one by one option. (a) A -B = -B +A The above…

Q: 1. The monthly sales (in thousands) of burgers (B1) and bites (B2) in three fast-food restaurants…

A: a) The sales in the months of January and February in the matrix form are represented as:Matrix…

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: Consider the following matrix: P = B = D= b3 Then the [P] is: ral a2 00 a3 a4 0 0 b1 b2 dl d2 Lb3 b4…

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Q: For the non-null matrices A and B, which of the following statement is true  1) A -B = -B +A 2)…

A: