Compute the following: (1) C(6,4)= (2) C(7,5)=   (3) C(9,5)= (4) C(8,3)⋅C(8,5)=

Q: Compute A-213 and (213)A, where A = A-213 = (213)A= 4 - 1 3 1 - 5 1 1 - 3 -2 6-1 3 3-5 1 1 -3 -2

A:

Q: Let B = {1, t − 3, (t − 3)² } and C = - - {1, t − 2, (t − 2)²} - be two bases for P2. The function…

A: a=1b=-2c=5Explanation:

Q: verify that (A + B)T = AT + BT

A:

Q: Compute det A, det B, det (AB), and det (A + B) for -2 1 2 +*+ A = -3 -1 -4 4 −1 3 det A = det (AB)…

A: A=-212-3-1-44-13  B=2-3-4-1-3-3217

Q: 1 4 8 1 la – 56 a -b' b- a a a+b b2 - a? 6a 62 - a? | 2(8a + 56) (a - b)(a+b)

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Q: Which of the following functions V(y₁, Y2) is a Lyapunov function for the dynamical system with…

A:

Q: Let B = {1, t − 3, (t − 3)² } and C = - - {1, t − 2, (t − 2)²} - be two bases for P2. The function…

A: a=1, b=-2, c=5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 1. Let -1 3 [1 2 3] A = 2 1 4 [1 2 3] 0 1 2 -4 1 and C 2 1 -3 Find the following: (a) 24 (b) 2АB (c)…

A: Solve by matrix operations

Q: Compute A -213 and (213)A, where A = A-213= 5 - 4 -4 -1 2 3 - 5 1 3

A: In this question, we will compute the matrix.

Q: [x +1 0 2 1 2 (3)if A = 3 1 and B = 3 y -5 4 -1 -5 4 z - 4. Find x,у аnd z.

A: If two matrix A and B are equal then Each matrix of A and B has the same number of rows. Each matrix…

Q: 5. (BH) Calculate det B, where 0. 4 1 1 В — 1 -2 4 -1 2 1 -1 0 7

A:

Q: Let A = {a, b}, B = {x, y}, C = {x, z}. а) (6.1 #32b) Find P(A x B). a

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Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j