[a, b, c If Aj = [di e, fi] [a, b2 c2 A2 = [d2 e2 a3 bz c3 Az = [d3 ez f3] and are any 2 x 3 matrices, and k and h are real numbers, show that: k (h A3) = (kh) A3 k (A1 + A2) = k Aj + k A, %3D

Q: а Given: A = ; B = а If: |A| = 4 and |B| = 1; find: a? + b².

A: The given matrices are: A=1a2b,B=1b2a Given that, A=4,B=1

Q: 14 -4 6 3 If = 4A ( 3 20 ) and B - (- - - - 2 ). Find A B 5 10 = AB 1 - 3 8 12

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Q: 5. If A = 4 (1)- -10 8 and B= (2 4 5), find A + BT

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Q: = 1/3 A = -1 0 Option 1 2 -1 [-2 4] and B = 3, find (AB)T -8- 5 [] Option 2

A: We can answer the correct answer as below.

Q: 4. Perform the indicated operations. -2 1] a) [1 -4] 0 1 5 1 b)| 0 4 13 4

A: We have to perform

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A: The above system of equation can be represented in the form of matrix Aw=b where…

Q: 4) What is 3A-2B¹ if Matrix A = -21 = [₁3] and Matrix B = [ =[122] 4 -3. 6 -2.

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Q: Find the following and show your solutions. Given [4 2 1 5 E = 2 -1 2. Find. 1. A+ B 3. СЕТ 5. EE 2.…

A: We have to find given matrices .

Q: Given v = U₁ = 0 V= -8 find the coordinates for v in the subspace W spanned by 1 11 -1 -1 -6 -1 , U2…

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Q: Given A and b in Exercises 11 and 12, write the augmented matrix for the linear system that…

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Q: c) Find the eigenvalues for the given matrices. Hence, find the eigenvectors for each eigenvalue. [1…

A: As you ask too many question ,I only solved first one.

Q: 5. Choose which of the following are the values of x, y, and z. x + 2y +3z = -5 3x + y - 3z = 4 -3x…

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Q: 4 = = - (13 + 2) 0 3 13 -13 13 + 2 0 9. 1 B = 1 13 +3 4 -(13+ 4) [13 13+1 1 0 Calculate the…

A: Matrix multiplication is defined as row by column multiplication where the elements of the ith row…

Q: 0 -5 -17 D'E" 5. - 10FG" given D = 1 3 1 that 3 E = -2 0 2 2 4 -2 1 [4 07 2 -2 3 II

A: We will solve the problem.

Q: Consider the following matrices: 1 0 1 4 3 1 1 2 -- %3D B = 0 1 1. [1 0 C = 0 1 -1 a) Find BC. b)…

A: If determinant of a matrix is non zero then it is invertible. Two matrix will add or subtract only…

Q: 1 1 3 2 1. Let B 3 1 3 4 2 2 -1 4 -3 1 Solve the determinant using a. Chios Method b. Expansion of…

A: (b) Expansion of Column 2

Q: If A = [13 13 +1] 20 A=1 9 f(x) = -13°x² + x, calculate the f(A)

A: An element aij in the product of two elements is obtained by taking the sum of the product of the…

Q: What is BA if 3 Matrix A = 0 -4 -2 5 -1 6 2 -1] [2 and Matrix B= 3 [1 -1 -5 4 0 2 -2]

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Q: The system of equations is given by: ax + by = --19 cx + dy = 0 5 19 a 19 is 2 19 If the inverse of…

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Q: Harith, Hakim and Hammam went to DAISO to purchase supplies for making decorations for the upcoming…

A: To Find: Determine the unit cost of each item.

Q: Solve the equation for r, if possible. cosT sinx sinx COST sinz - cosz 1 sinx + cosz

A: The value of the determinant of the given matrix helps to find the solution for x. The given…

Q: Let I be the line in R³ that consists of all scalar multiples of the vector projā = -2 2 . 5 Find…

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Q: c) 9 5A 1 5 -4 -4A -4 -4 = 0 20 -201 1 -20 -3 402 25 40 O True O False d) If the eigenvalues of a 3…

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Q: Find the missing coordinates such that the three vectors form an orthonormal basis for R³: J -0.6…

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Q: Consider the following matrices 12 0.09 0.01 0.04 r = 14,w= 5, V = 0.01 0.16 0.10 20 0.04 0.10 0.64…

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Q: (2 -1 5, -2 2,

A: