1) B is between A and C so AB + BC = AC

Q: If a = 4, y = 3, then 3a + 5 = 20 - y Select one: O True O False

A:

Q: If r = 3, s = 4, t = 2, then 3r+ 6s - 2t = 4r + s + 2t Select one: True O False

A:

Q: In R show that 21 b) all × 11² + 20y|l² = 11x + y² ² + 1x-y₁² 2/ er

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Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

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Q: IEvaluate Ax)-2x+3x-4 A) x-3 B) x-h+/

A:

Q: True or false: If (a,b) = (a,c) = 2, then (b,c) = 2

A: a, b=a, c=2

Q: alm +3)+ m= Bm 3m-

A:

Q: Which of the following is equivalent to 3 - V2 O A. V2 А. O B.-V2 3- V2 O C. 3+ v2 O D.

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Q: 16. Choose three correct ways that (36x) can be rewritten. Example solution: a, b, c ()* a (6r) b.…

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Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: 49. Prove that (a – b) × (a + b) = 2(a × b).

A: The following properties of vectors are used in proving the given identity. a×a=b×b=0a×b=-(b×a)

Q: If n(A) = 7, n(B) = 11, n(AUB) = 18 are A and B disjoint? Briefly explain your answer.

A: We will use the formula:

Q: D -7 = -9+ V12 – a 2) 0 = 4v-6 –n 3) 7v12x + 4 = 56

A: Given equations are  (1) -7=-9+12-a (2) 0=4-6-n (3) 712x+4=56

Q: 2. Find A if (A-1-21)² = -2 = -21]

A: Basic properties of matrix are used

Q: Let 1 3 A = -2 -1 and В - 2 -2. a. Find AT and show that (A")' = A. b. Show that (A+B)" = AT + B".…

A: