Show (a) If A has a zero row, then AB has a zero row. (b) If B has a zero column, then AB has a zero column

Q: 4. Find the product AB, where a) A= 0 -1 -1 --1.B= -3 2 - 2 -1 03 -1 -3 -2 0 b) A=1 0 -1 B = 2 4 -1…

A: AB=1010-1-1-11001-11-10-101     =-11001-11-11 (b)AB=1-3012221-11-123-103-1-3-202…

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: 7. Which of the following are linear combinations of = (0, -2, 2) and v = (1, 3, –1)? (a) (2, 2, 2)…

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Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

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Q: Find a and b such that 2 1 20 = a 2 +b -4 -22 -1 a = b =

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Q: Suppose U = {1, 2,..., 9}, A = all multiples of 2, B = all multiples of 3, and C = {3, 4, 5, 6, 7}.…

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Q: 6. Match an expression from the left column with an expression from the right side. Some expressions…

A: Let's find.

Q: Compute det B4 where B = det B4 = 102 2 14 2 3 1 (Simplify your answer.)

A: Given: The matrix .To find .Concepts used:To find the determinant of a square matrix, pick any row…

Q: If n/(a – b) and lcm(2b, 2n) = 2, then gcd(2a, 2n) = %3D %3D

A: We have to find the gcd of the two numbers   gcd= greatest common divisor the two numbers are 2a…

Q: Find |AI, IBI, AB, and IABI. -2 A 1 2 ] B = [2 -2] 4-2

A: a) A=(-2)(-2)-(1)(4)          =4-4           =0⇒|A|=0b) B=(2)(-2)-(4)(0)           =-4-0…

Q: Find a and b such that a = 9 = 0 - a -1 +6 10 6

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Q: (a) Use PhaseLines to investigate the bifurcation diagram for the differential equation dy dt =ay -…

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Q: 4. Factor a? + 12ab + 32b2. OA. (a+4b)(a + 8b) О в. (а - 4b)(а - 8b) С. (а - 4b)(а + 85) D. (a +…

A:

Q: Find the product of (2x+ 3)(3x- 2) A 6x + 9x – 5 B 6x + 9x - 6 C6x +5x- 6 D 622 6x + 5x-5

A: (2x+3)*(3x-2)=?

Q: ind AxB for A = {1,2} and B = {r,s, t} %3D

A:

Q: Find, if possible, A + B, A- B, 2A, 2A- B, and B + A = 5-6 2 3 -4 1 (a) A + B 183 11 (b) A - B 188…

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Q: 9. Let A = 2 1 4 3 are undefined: a) 2A + B 05 [35] 1 B = 7 and C= 123 456 c) Explain why the…

A: Here we have to perform given operation on matrices and if undefined then we have to give reason for…

Q: TRUE or FALSE: A\B = A when A and B are disjoint

A: Given statement ,A|B=A then A and B are disjoint

Q: True or false:(a) If A2 is defined then A is necessarily square.(b) If AB and BA are defined then A…

A: We know that a square matrix is a matrix which has equal number of rows and columns. n×n is called…

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

A: The solution is given as

Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: Let a = (2, 4, 6) and b = (4, 2, 4). - (å – 6) × (å + 6)

A: Given: a→=2i^+4j^-6k^ b→=4i^+2j^+4k^ a→-b→=2i^+4j^-6k^-4i^+2j^+4k^          =-2i^+2j^-10k^…

Q: What is the Cartesian Product of A = {1,2} and B = {a,b}? Find AxB.

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Q: Given: GS = GR, LT = L0 Prove: ATGR = AOGS R

A: Figure  in which ΔTGR and ΔOGS also given line segment GS ≅ GR and ∠T ≅ ∠O To prove the ΔTGR ≅…

Q: Assume that 12 + 22 + · · · + n2 = an3 + bn2 +en + d. Find a, b, c, and d.

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Q: 2. Which expression is a factor of x² + 2x - 15 1) (х- 3) 2) (x + 3) 3) (x + 15) 4) (х - 5)

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Q: Find A3 if A = {1, 2, a, b}

A: Given,      A=1, 2, a, b

Q: find AB, BA, A +B, A - B, A, B, 5A, 3B. Observe that AB + BA. Show that (A - B)(A + B) # (A + B)(A –…

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Q: Suppose T&T3T₂T₁A= where ● 6 -1 -9 -101 10 8 -4 0 -40 5 0 0 8 0 0 T₁ performs the row operation 2R4…

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Q: Find the value of a, b, and c if (a+b)(a+b+c)=21, (a+c)(a+b+c)=35, and (b+c)(a+b+c)=42.

A: First we need to make some equations and the we have to simplify them in order to get a, b and c.

Q: ormation T with respect to the given bases B and D. (a) T:R3 R2,T(v) = (v1 -v2+2v3,2v1 - 3v2+v3), B…

A: (a)

Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: Z4×Z6 has an element of order 24. true or false ?

A:

Q: SupposeP(A) =.55,P(B) =.3,P(C) =.35, andP(A∩B) =.20. Find thevalue of each variable. Write your…

A: Given, PA=.55, P(B)=.3, P(C)=.35, and PA∩B=.20 From the given Venn diagram, PA∩B=x+0.15 ⇒x=PA∩B-0.15…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.