4. Given the matrix A below,  A = [ 2 1 3           1 -1 1           1 4 -2 ] find  a) its adjont, adj A b) A-1

Q: Let A = x-2 3 1 x-4 3 2 x-6x3 For which values of r a) the matrix has no inverse, b) its columns are…

A:

Q: Consider the matrix -8 A = 13 21 1 4 -2 15, Where a;, represents the entries for A, for i= 1,2,3 and…

A: Given,        -8    0    5 A= 13    21  1         4    -2   15 a ij represents the entries for A,…

Q: 2 1 -1 3 1 2 1 2 0 b) Calculate the rank of the matrix P = 3 1 1 1 |-1 -5 -3 -7 3

A: Given,

Q: 2. Consider the matrix: Then: A = [1 2 -3 01 1 4 a) det (M23) = b) A21 = 23

A: A=12-3012143

Q: 2) does the following matrix is orthonormal and orthogonal? Why? R = 2

A: Orthogonal and orthonormal matrix

Q: 17- Let A be 5 x 5 matrix and det(4) = 2. What is the value of der(24)? a) 128 b) 32 16 64 LEave…

A:

Q: i Xi Yi 5 25 IM N 3 2 b 3 5 IT a) What is the design matrix, X b) Calculate XTX

A: Given the data as12352525911

Q: Find the (1, 2) cofactor of the matrix A = b) 2 d) -18 f) -9 e) 18 9 3 4 -1 2 -1 2 3 -3 -3

A: given A=32-1423-1-3-3 cofactor of Element (1,2)=-11+2M12=-M12 where Mij=minor of (1,2)

Q: If the RREF of All is || B, then AB is the identity matrix. A) True B False

A: Given: The row reduces echelon form is A:I is I:B. We have to check whether AB is the identity…

Q: det (–3(A" A-²)*) Consider matrix A of order 3, the value of corresponds to: 1 a) –7 - 1 b) –3 c) –3…

A: For the solution of the problem follow the next step.

Q: (2 -3 1 a) Given the matrices A = 4 0 3 and B4 1 1 2 find 5 1 1 1 3 a) A1B and b) ATB.

A:

Q: 3 – i -2+i 1 a) P = Ye= -2+i b) P = Yes No -i 0

A: Unitary matrice.

Q: Let A = -9 -10 5 P = 6 a) Is matrix A diagonalizable? [ ] b) If A is diagonalizable, find a matrix P…

A: Here we have to evaluate of the given matrix A is diagonalizable or not, if diagonalizable then we…

Q: -(¹-21) e matrix B x A? and B = (8) What is the entry on the row 2 and column

A: We have to find the 2nd row and 1st column of the matrix BA

Q: 12. Find A + B, where -1 3 5 2, B = 0 -2 -3 0 5 2 -3 2 -3 a) A =-1 9 -3 b) A = B = -4 -3 5 -2 -1

A: a) Given A = 104-1220-2-3B = -13522-32-30 Then A+B = 104-1220-2-3+-13522-32-30=…

Q: Q4. a) Show that the matrix A+ A" is symmetric by using component proof (Proof with ij entries). b)…

A:

Q: Find a QR factorization of the matrix A. [-6-12] 17) A = 17) A 3 36 0-12 18) A- 01 1 10 -1-11

A: We have to find the QR factorization of the matrix

Q: (5 4 1) 1. For the matrix A= 0 0 3, state 9 8 6

A:

Q: 7) Find the determinant of the following matrices: -51 6. 1 5 b) 8 2 8. -31 -3 7

A:

Q: 7 Let y = and u Write y as the sum of two orthogonal vectors, one in 5 4 Span {u} and one orthogonal…

A: Step 1:Step 2:Step 3:Step 4:

Q: b) Consider the following matrices: Solution: M₁ = [1 −7], M₂ = [1 2], M₁ = (1 1]. A = [23], B= [13…

A: Step 1: Determine if A is in the set Span({M1​,M2​,M3​}).Step 2: Determine if B is in the set…

Q: b) Let A = Bar = and A¹C = B. Find a matrix X such that X = AC.

A:

Q: Let matrix A be 2 by 2 matrix and 1 A. 4 and 1 4 .2) 2 Then what is A=? ||

A: At first we will suppose a matrix A as 2x2 matrix and simplfy second condition by pre multiply by A…

Q: If A = BxC, find matrix A. 2 1 1 -3 -2] C = -2 -1 B = 2 0 1 ] and 3 O A) 2 A = 7 2 4 7 O B) -6] 2 6…

A:

Q: 1 1 A = (1 2 A = 1 a) g) A = m) -1 3 5 -4 -3 -2 -3 A = 3 b) h) A= n) A = 3 3 4 -3 -4) 10 1 1 1 1 c)…

A: As per our guidelines we need to solve first three questions please repost the remaining questions…