a.) Compute P3.

Q: Use a) and b) to find A-1

A: Let's find inverse of A from given results a and b.

Q: Let the size of A be 4×3, B be 3×5, and C be 4×5. Determine whether the following are defined: [3]…

A: Step 1: Given,Matrix A has dimensions 4 × 3Matrix B has dimensions 3 × 5Matrix C has dimensions 4 ×…

Q: . Let a, b € Z so that 4a + 5b is a multiple of 13. Prove that 13 divides 9a + 8b.

A: We have to show that 13 divides 9a+8b To prove this we using 4a+5b divisible by 13

Q: Consider a square (see below). In the center of the square lives Jes. His friends (four of them: Abe…

A: There are four friends, each live at one of the four corners of the square. Jes lives in center of…

Q: j) x(x+2)+

A:

Q: If n(A ∪ B) = 97 and n(A) = n(B) = 66 find n(A ∩ B).

A: Given, n(A ∪ B) = 97 and n(A) = n(B) = 66

Q: Prove or disprove that an 8 × 8 board with two opposite corners removed can be tiled with 1 x 2 (and…

A: Solution:-

Q: There is a factory that makes widgets in different colors. The production time for each color is…

A:

Q: Consider the following linear equations: 7x+6y + 5z = -7 7x + (18k)y + 4z = -5 7x+6y + (9-k)z =k+-3…

A:

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft…

A:

Q: Let A = PDP-1 and P and D as shown below. Compute A4. P= 2 -3 5 -3 D= 10 1 2 0

A:

Q: Let A = {a, b, c, d}. Find P(A).

A: Let A = {a, b, c, d}. Find P(A).

Q: a3 and b Let a₁ a2 Determine whether b can be written as a linear combination of a₁, 32, and a3. In…

A:

Q: A pet store sells three different starter kits for 10-gallon aquariums. The accompanying chart shows…

A: Let the store will create x number of kit 1, y number of kit 2, and z number of kit 3.Hence, x=y+zAs…

Q: Find the product of x and y if x, 3/2, 6/7, y  are in G.P

A:

Q: A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying…

A: A chemical manufacturer wants to lease a fleet of 24 railroad tank cars. x1+x2+x3=24 Let x1 be the…

Q: Compute the following combination: C(13, 6)

A: