Q4/ For the following three matrices : k 4 k A= 0.5 2k 0.5 2 8 2k 1 3 B=m 2 1 m a- Find value of (k) if know that (A) is a singular matrix b- Find value of (m) if know that A*B=C [22 16] C=11 8 44 32]

Q: find the inverse matrix

A: As per the question, we have to form a 3×3 matrix, given the unique symmetrical elements of YBUS(s)…

Q: 4. Consider the following matrices: 2 4 -1 2 la bai 1 A - B = C = Z = 1 3 S = t= u = -3 (a) Find w2,…

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Q: Please check if my steps and answer are correct. The prompt is to diagonalize the matrix  12 -21…

A: The answer is in below steps.

Q: The sum of the matrices below gives a (3 7 21 10 0 and О Зх3 matrix O 3x 2 matrix O 2x3 matrix O 2x…

A: Given: One matrix is of 3x3 and one is of 2x2. So, the sum of the above two matrices is not…

Q: 4. If det(Adj(A)) = then what is det (A-1) if A is a (4 × 4) matrix?

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Q: Assuming that all matrices are n x n and invertible, solve for D. CABT DACTB = CAT.

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Q: Suppose A, B and C are 2 × 2 matrices with det(A) = 3, det(B) = -2, and det(C) = 2. Find…

A: NOTE: Refresh your page if you can't see any equations. . properties of a determinant are where…

Q: Consider the following 3 x 3 matrix A and b in R, 1 -4 8 | A = 2 -3 2 1 5 -8 1

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Q: What are L and D (the diagonal pivot matrix) for this matrix A? What is U in A = LU and what is the…

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Q: /1 3 21 2 1 1 A = 4 03/ -(² 7 1 -1 -1 Find the matrix A. 1 3 03 -3 7

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Q: Let A, B and C be invertible, nxn matrices with AB BA and I, the n x n identity matrix. If AXB-= I+…

A: Invertible Matrix: An invertible matrix is a matrix for which matrix inversion operation exists,…

Q: 3 2 . B = 3 and C =-1 For the Matrices A= 1 4 Find: (AT.B)+ 2 C

A: Given that, We have to find, Then we get, AT=1-32140…

Q: r3 5 0 3 9 4 0 01 2 5 9. c.7 9. 7 6 8 8 3 4 6 8 0

A: A 5×5 matrix is given by, A = 3403050259739594687660883. The objective is to find the determinant of…

Q: (1) Let A be a px5 matrix, B be amx 4 matrix. If AB is a 7xq matrix, then p= , m=_

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Q: 8. 3 a) Let A = ( 6 1 3 ,B = 6 -2/ %3D 1 Then find the matrix AB. -4 -1

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Q: 16 21 Let A = |-14 -19 Find two different diagonal matrices D and the corresponding matrix S such…

A: Given matrix is A=1621-14-19 We find the eigenvectors. For eigenvalues, A-λI=0⇒1621-14-19-λ…

Q: If A is a 2 × 2 diagonalizable matrix, with APPD, and 1 D= (09). P = (~44 }) に 1 1 3) then element…

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Q: (a) Show that the jth column of the matrix product AB is equal to the matrix product Ab;, where b;…

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Q: Assuming that a​ matrix, A​, has an​ inverse, which of the following is NOT​ true   A. A can be…

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Q: : 21 = |-1/v2 1/V2-1 1/V2 1/V2]1 o 01-1/v2 1/V2 31[ 1/V2 1/v2] Given the diagonalized matrix A =…

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Q: Given A = and B %3D Find the matrix represented by: (iii) 3(2B – 4A) (iv) A + 3AT

A: The given matrices are A=1432 and B=-13-25. (iii) Evaluate 3(2B-4A) as follows.…

Q: please answer all thanks!

A: Given matrices are:A=⎝⎛​3−11​021​⎠⎞​, B=(40​−12​), C=(13​41​25​), D=⎝⎛​1−13​502​214​⎠⎞​. (a) 2B -…

Q: and B are square matrices with dimension 2 x 2, C is a matrix with 5 columns. What should be the…

A: Matrix CD is square matrix because A is square matrix.  And CD is define if column in C is equal to…

Q: 4. Prove: If A and B are both n x n matrices, then det(AB)= detAdetB. (Only use 2x2 matrices)

A: Given A and B  n×n  matrices to prove  det(AB)=det A det B

Q: 2] find 1 -1 3 - If A = and B 1 |3| -2 (а) ЗА — В. - (b) The matrix X such that 3A – B+ 3X = 0. ||…

A: As per guideline we have to solve only three parts

Q: -Ч О 2 N T 1 - 4 0 О 1 -4 1 7 N О 1 -ч Ti Та Тз ти II 120 -130 -че -30

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Q: If A is 3 x 3 matrix with det (A) = 3, find det (3 O a. 33 O b. 1 О с. 32 O d. 3

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Q: Given too matrices A,B such that det(AB)=4. Which one of the following statements is False.  1) det…

A: We are given that det(AB) = 4. So, det((BA)-1) = det(BA)-1 = 1/4, and det((AB)-3) = det(AB)-3 = 1/43…

Q: [0 0 01 10. Let A=100. Show that A³=0. Use matrix algebra to compute the product of Lo 1 ol…

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