5 4 3 7 4 2 5 7 Let u = be a symmetric matrix. 3ь 4 7 7 с 8 a Write down the value of a: Write down the value of b: Write down the value of c:

Q: 1 2 3 2 2 3 5 1 134 5 (b) Find the rank of the matrix A =

A: 1. We know rank of any matrix and rank of its reduced row echelon matrix are same. 2. Rank of a…

Q: 2 1 3 Let A be a 3 x 3 diagonalizable matrix, P = 2 1 -1 1 1 1 [2 P-1 = 3 -21, D =10 3 If P-1 AP = D…

A: Given: Let A be 3x3 diagonalizable matrix, P=01231-1-23011, P-1=11030-2-303, D=20000000-1

Q: -2 4 For the matrix B = what is the value of |B|? 3 7 3. A. 8 В. — 2 С. 4 D. -5 Select one: O D O C…

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Q: 3. Let B be a square matrix. If B²=0, does B=0 necessarily, i.e. all zero entries? Justify your…

A: Let B be a square matrix. If B2=0, does B=0 necessarily.

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 1 4 -5 1 3 -6 4 A= 4 1 -6…

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Q: 6 1 is similar to the matrix B = 3 4 7 0 The matrix A = Select one: True False

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Q: 4 5 8 what is the value of the element in For the matrix A = 2 3 6 4 9 the second row and first…

A: Consider the given matrix: A=458236149Find the cofactor Matrix:Cofactor of 4= (-1)1+1(27-24)…

Q: 6 - Mark the correct result below. Calculate the expression(A – I)(A + 21) for the matrix A = . What…

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Q: 4. Find the rank of the given matrix below using echelon form. 1 2 4 3 2 5 -6 10 -2 -7 3 21 8 15 12…

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Q: 4 2 2 Diagonalise the symmetric matrix A 2 4 2 2 2 4 %3D

A: Result : Every symmetric matrix is diagonalizable orthogonally. This implies that for symmetric…

Q: (2 5 4 For the matrix B = ( 3 7 9 \2 5 0, what is the value of |B| A - 17 В. 4 С. 0 D. - 4 Select…

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Q: 3 4 Let X and Y in the set of 2 × 2 matrices, M22. %3D -11 2 3 Determine whether A = or B are in…

A: Given  X=2-121, Y=34-11 and A=0-1181, B=2312

Q: (4 5 8 For the matrix A = ( 2 3 6 what is the value of the element in \1 4 the second row and first…

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Q: 1 B = A 87 1 4 19 2 3 3 46 2 5 B 4 C 12 D E 3×4 4×3 The order of matrix B is:

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Q: 9 c 7 1   + 2   8 −1 14 d   −   4 6 b 0   =   a −1 6 −6     (these are matrices) how do i…

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Q: -3 5. For the matrix A -6 9 what is the value of JA|? %3D 2. А. - 36 В. 48 | С. 36 D. - 48 Select…

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4. -8 8 -4 A = 16 - 29 28 -…

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Q: B= 4 7 8. A= 2. Find 1-Matrix C. 3B 2- Matrix D - AB inNN

A: Given A=352252 and B=204768C=3B=3*204768               C=[6012211824]

Q: [1 0 2] 1 2 is diagonalizable. Justify your answer. 0 0 0 9. Determine if the matrix A = 1

A: If minimal polynomial having a repeated roots then that matrix is not diagonalzible.

Q: 2 5 4 For the matrix B = 3 7 9 \2 5 0 what is the value of |B|? А — 17 В. 4 С. 0 D. - 4

A:

Q: Let A be a 2 x 2 matrix. If det (A) # 0, then det (adjA) = det (A).

A: The answer are as follows

Q: 5 a 1 28 6 2 Find all a and 3 > 0 so that the matrix B = is 2 a diagonally dominant;

A: Consider a square matrix . Then the matrix is said to be diagonally dominant if it satisfies the…

Q: 3. Let [1 2 3 A = |4 5 6 7 8 9 (a) What is Aēj? Present it as a linear combination of the columns of…

A: Given

Q: 2 4 0 7 4 1 2 12 be a symmetric 6 Let u 0 b 3 a 12 C 8 matrix. Write down the value of a: Write down…

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Q: Find the reduced row-echelon matrix that is row-equivalent to the given matrix. 1 2 3 4 5 6 78 9…

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Q: '2 5 4 For the matrix A = ( 2 5 0 3 7 9, what is the value of |A|? A. 176 В. 89 С. О D. - 4

A: If A is a square matrix then  A = determinant of matrix A

Q: 5 4) (2 5 5 0 For the matrix A = 2 what is the value of |A|? 3 7 9,

A:

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 4 -2 12 10 - 4 8 A = 16…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: (2 5 4 2 5 0 For the matrix A = what is the value of |A|? \3 7 9, A. 176 В. 89 С. О D. - 4

A:

Q: (9) Given A = and B = 6 .cCalculate: 3 a) AT b) A+B c) A*B (matrix multiplication)

A: Given that               A=2123       and  B=1-103 Now we find a)AT  b)A+B   c)A*B(matrix…

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -5 0 4 A = 15 2 - 9 15 8 8…

A: Given that  The matrix A  To find the LU by using LU factorization

Q: (3 5 0 For the matrix A =(2 5 4 \2 7 9. what is the element in the first row and third column of the…

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Q: 2 3 10 2 A = 5 4 9 2 3 1 3 multiplying the matrices, explain why A is not invertib

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Q: a. Give the order of matrix.b. If A = [aij], identify a32 and a23, or explain why identification is…

A: Solution:-  a. Give the order of matrix.b. If A = [aij], identify a32 and a23, or explain why…

Q: 1 -2 4 For the matrix A = 2 0. 6. what is the value of |A|? %3D 3 7 3.

A: Given, A=1-24206373

Q: b7 c d x A = j g _e f] a If then size of matrix A: %3D

A: Here we find size of Matrix A ?

Q: /4 5 8 6. For the matrix A = 2 3 what is the value of the element 1 4 9/ the second row and first…

A: Given that: A = 458236149

Q: Part I Suppose that A is a 3x5 matrix with rank 2. Then the dimension of C(A) is 2 the dimension of…

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Q: 7 5 0V For the matrix A = (2 5 4 \4 7 3. what is the element in the third row and second column of…

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Q: Find an LU factorization of the matrix A (with Lunit lower triangular). ol -4 2 A = 8-14 7 -1 4 3 11…

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Q: Let B = {b1, b2} and C = {c1, c2} be two bases for R?, where 31 b1 b2 C2 7 3 10 22 b] what is the…

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Q: 2. 5 4 For the matrix B = what is the value of |B|? 3 7 9 5 0 12 А 17 В. 4 | С. 0 D. -4

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Q: 6 5 3 7 7 7 9. a Consider the matrix A = n f 5 4 6 h e Calculate a33 Calculate a13

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Q: Prove and answer 1 and 2 1. If A is a symmetric matrix, does it follow that the transpose of matrix…

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Q: 3. let A be a 3x3 matrix and Auppose that A + 2a,- 30z=0, where a,, a,and az are the Colums of the…

A: System of Linear equations and non singularity

Q: [1 1 1] 4. Let A =|1 2 3 and D =|0 li 4 5] [2 _0 0] 3 0 Lo o 5] a) Compute AD and DA. « b) Explain…

A: The given question is related with matrix multiplication. Given that,                  A = 111123145…

Q: (d) (i) State the definition of a diagonalisable matrix. (ii) Using theorems from class to justify…

A: A square {\displaystyle n\times n} matrix, {\displaystyle A}, with entries in a field {\displaystyle…

Q: ents is INCORRECT? che same solution set, then they the coefficient matrix of a linea mber of…

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 2 4 - 1 1 4 2 4 A = 4 10 8…

A: We have to write the U matrix using LU decomposition method.