1. Given the following matrices: A = 1 2 3 4] 24 6 8 1 3 5 7 -1 2 -3 4 a. [(AC)BT] - DT b. [(BD) TCT] + A 2. Given the matrix A below, Evaluate [4 7 = 8 5 4 4 3 C = 2 1 2 1 1 3 -2 -1 1 2 3 5 3 -4 -1 1 4 4 8 A = 3 7 -1 2 3 4 Solve for IAI-1 3. Solve the linear system below using Cramer's Rule. a+b+c+d=13 2a + 3b c = -1 -3a + 4b + 2c + d = 10 6 5 2 D=-1 7 2 2 7 1 4 -8 9 -2 5

Q: compute the indicated matrices C -BT

A:

Q: 1 A = -1 0 2 a) B = 1 -2 4 5 (-3 -3 b) A = 2 7 B = 11 -6 18 -11 13 A = 28 43 c) B = 22 -3, 12 4 3 -3…

A:

Q: A = 2 4 −1 0 -2 9 , B = D= 0 −1 3 1) Use the above matrices to compute the following (where…

A:

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

A: A=12-3012143

Q: 1. Find A-¹ using elementary row operation to the augmented matrix. Let A = -2 10 0 0 4 2 -6 -12

A:

Q: 2-3 Find AB for each of the following metrices:- -lo DA•[ -21, 8-[] L 3 2) A= 3 4. 2 -33 5 13 1J

A:

Q: 2. Given matrices A and B below, evaluate tr(AAT - 3B) 1 0 A = 0 5 -2 2 [1 1 1 B = 04-6 [1 0 3

A:

Q: 2. Consider the four matrices, 1 2 3 A = 4 5 6 1 2 B = 1 23 C = 4 56 1 2 D 3 4 3 4 ww 5 6 7 8 9 www…

A:

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: Solve the matrix equation below: a) 2a NO 3 b 4-7d] b) Find 4A + B 2 = - [8, 1²] -9 [1 A = 6 13 L7 5…

A:

Q: 4. A = -1 0 5-2 245 0 -3 , B= 7 650 -3 -4 2 -1,c=7,d=5 7 9

A: we are given the matrices and we need to find out the matrix cA+dB

Q: Given the following matrices: X 2 -3 5 1 -2 -4 5 6 0 5 7 4 Show that (XYZ) = ZTYTXT Y = -3 6 2 6 -4…

A:

Q: Exercises A. Consider the matrices below: 07 [1 C = 2 [1 A = 2 -11 2 B = 3 -1 7 5 11 5 3 [12 E = |2…

A:

Q: 4- Determine the rank of the following matrices: 2 8] [3 4 5 [1 7 6 ii- A=1 2 3 5 3] [3 9 21 iii- A…

A:

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: 1. Solve the following Matrix Operation: 2 -1 3 2 3 1 2 1 c= 4 3 2 3 5 A= 3 2 1 B= -1 4 -2 DD 10 3…

A:

Q: c. Given the matrices 1 7 3 A = 0 5 2, B = 1 -5 3 0 1) -3 -4 -7 -1) 4 and C = -8 -2 -1 13 -11) -15…

A:

Q: compute the indicated matrices B -C

A: To compute the indicated matrices B – C Given information:

Q: compute the indicated matrices AB

A:

Q: 2A3. Given the following matrices 23 [031] H [Bijl= 0 5 1 [Cijl= 1 0 2 021 243 Demonstrate the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: b) Find the rank of the following matrices: [6 2 A= 0 7 Lo 3 12 8 [4 2 3] B=8 4 6 [3 5 o] 4

A:

Q: 1 2 C= 1 A = 1 -2 3 D = 1 1 1 -1 1 -1 -9 B = 1 1 1 1 2 -1 -1 4 1 find the matrix 2A – 3B + C. Do…

A: Given A = 11-2110B = 11-1111C = 1232-11D = 1-1-9-141

Q: Find the transpose, conjugate and tranjugate of the following matrices: # = √² = 3₁ 2 AT = 1-1 31 7…

A:

Q: a2 If the columns of the matrix A = -1 are orthogonal, then 2 -1 2 az = 1 a. O b. az = -1 C. a3 2 d.…

A: If column of matrix  A are orthogonal then  B = A^T A  Elements B(i,j) = 0 for i is not equal to j.

Q: (a) (BH) By direct multiplication, show that the listed vectors z; are eigenvectors for C1, and find…

A:

Q: 1. Perform the indicated operations of matrices. Given: 1 = [2²2 A -2 1 11 4 1 3 31 Note: A² = A.A 0…

A: According to the Bartleby guidelines when student post multiple subpart question then expert must…

Q: Given matrices A and B below, evaluate tr(AAT + 4B) TO 3 --- A = 1 1 L5 -4] [1 1 B = 0 0 2 L3 5 0

A: