2 -1 Let k be a real mumber and A = k Lo Then A is a singular matrix if 7. O k=10 О к-5 None of the mentioned O k=15/2

Q: Find the 2, 3-cofactor of the matrix 1 2 0 0 2 1 -1 7 -3 0 0 0 7 1 0

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Q: O Nothing O rank(P)<7 O rank(P)36 O rank(P)=0 O rank(P)=3

A: We can answer it as below

Q: 3. Show that (AB)* B' A' by using the matrices A and B giver [8 -2 5] 1 -5] B = 7 0 -3 A =1 -4 3 6.…

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Q: 2 7 Which of the following is the matrix C that satisfies the equality (c" +312) 1 4 -1 3 (a) 2 -5…

A: We have to find matrix

Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

A: We will find the required.

Q: Let 2 -1 | -1 2 -1 -1 -1 -1 -1 –1 -1 2 -1 2 be the Eç Cartan matrix corresponding to the simple…

A:

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: 5. Let D be a non-singular matrix such that 7. (7D)- 1 -2 Find D.

A: Inverse matrices

Q: Q 3.16 which of. the following oure ALWAYS true? O It A and 6 are レ matrices with det CAB) = 24 then…

A: Properties of the matrices

Q: 5 3 0 1 Find the size of the matrix -30 50]

A: The objective is to find the size of the matrix.

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: 1 Less positive Consider a symmetric positive definite matrix A separated into subblocks according…

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Q: -3 8 -3 and C = (1 4 A = ( 2 -3 -6 B = 1 2 69 2 1 -2 6. -3 1 are three matrices find |D"|where D =…

A:

Q: 2 3 Show that the matrix A is singular. 4 6

A: Concept used: Singular matrix are the matrix that is not invertible. In other words the determinant…

Q: Illustrate the Gersgorin theorem by the matrix 2 1+ 2i 0 A = -1 -2 – 2i 1/4 1/41/2 140 12 1/7 1/2…

A: We state the theorem and explain it with the help of the given matrix A.

Q: Let A =mnd B- then the matrix (2AB + A")" is equal to O None of these O equal to the above 2 17

A:

Q: 1 0 (¹²2₁) 1 1 of the matrix B x A? Let A = 00 01 02 03 O-1 O-2 O-3 and B = 2 1 (GD -1 0 1 What is…

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Q: If %3D 1- C What me matrix of An11n5 a positive inverse integers).

A: If we know how to inverse a matrix process we can solve the above question

Q: Q1/ If 1 4 -3' -3 8Y 2 -3 -6,B = 1 1 and C = 2 11 -2 6. -3 are three matrices find |D"| where D = A?…

A: The given matrices are: A=1042-3-6902 ;       B=30-30111-26    and     C=0-38021-301

Q: 5. (16 points) Let A = [13¹], B = [-1¹ 63], and C = [29]. Compute each matrix sum or product if it…

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Q: (a) Describe the kernel and the image of Jn. (b) Use this to show that J, is diagonalisable when n #…

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Q: 134. (Square roots of non-positive/normal matrices) First, show C = root, i.e. no matrix K such that…

A: Various results on Linear Algebra will be used.

Q: 데 2 This is a Matrix multiplication of C with the transpose of C Given C = find CCT.

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Q: Solve the following equation involving a determinant. If y multiple answers, enter them as a list,…

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Q: 10. Consider the matrix A generated by the following expression A = eye(4) + ones(4) Which of the…

A: Here I have the code you can see option D is correct.