Use the matrices T-3 -5 -11 8 1 10 14 -2 A = -18 -6 and B = -13 w 15 13 11 -9 2 7 -1 P to complete the following. Enter all answers in exact, reduced form. a. If E = AB, determine the following. e13 = e23 = e32 = [187 -25 -113 87 b. Find the value of each variable given C = 57 160 149 -122 and C = AB. 117 -50 -91 110

Q: Find n and sn  If a = 5 , d = 3 , an= 50

A: Given data: The first term of an A.P is a=5. The common difference is d=3. The number of term in A.P…

Q: Find 4-¹, if A = [3 3 O ] 3 -2 0 O [32] −3 0 - [²2] O −3 12 -=[ 132] -3-2 O 2 3 3 2

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Q: Find n and sn  If a = 5 , d = 3 , an= 50

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Q: What do the symbols mx and sx represent?

A: Introduction Statistics is a field which involves collection, arrangement and analysis of the data…

Q: Suppose an -6a, 1+ lan 2 - lan 3 and a4 34, as = -211, and as 1305. Find a1, a2, az. %3D %3D and

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: If -4 -1 A = [-1 -1 -3 -2 2 1 2 2 determine the following entries: a31 = a22 = a14 =

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Q: Is the following a linear combination of 0. A = B = ? -9 5 10 12 O No O Yes

A: Given  A=50-3-2,  B=1-123,  C=0313

Q: Find A. A = (2A)-1 [ -1 -2 2 2

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Q: Find the inverse of AB if 5 -4 A-¹ and B-1 = = (AB)-¹ = -2 -4 14 -5 2 ]

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Q: -5,-12, -19,-26, .. A а, 3-5n + 1 %D a n = -7n + 2 а, 3D-7п - 12 a 72 D a, = 7n – 12 %D

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Q: Find 3A.

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Q: Find -x if а. х — — 6 b. x =

A: a) Find -x. Given that, x=-6 So -x=--6        Substitute x=-6=6 Hence -x=6

Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: Let A = 0 5 8 - 3A + 2B = -9 Find -3A+2B. and B = -93 92 C...

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Q: सर्व रण् सानसात म0

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Q: Match the graphs to their equations (y + 3)? (x – 3)? +1 4 1 (y – 3)² (x – 3)? 1 a v %3D 4 1 – 3)?…

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Q: HiW÷Put ãsQr T +axÑ if

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Q: If 2x-y=4 then 6x-3y=? Select one: a. 0 O b. 18 C. 12 d. 15 e. 10

A: Let 6x-3y = t

Q: Simplify the expression

A: Given expression:                              3x-1-3a-1x-a

Q: An= -An-1+12An-2; A0=2; A1=16 Calculate A3

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Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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Q: find the inverse

A: TO FIND  THE INVERSE OF THE MATRIX LET A= 1-222-313-41 FORMULA USED A-1= (AdjA)'A A not equal to…

Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

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Q: Solve the particular solution (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

A: We find the particular solution of  (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

Q: If a = (2, -1, 4) and b = (8, 2, 1), find the following. a × b = -9,30,12 X bx a = -9,- 30, - 12

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Q: Suppose an = -3an-1 a1 = a2 = a3 = 2an-2+ 6an-3 and a4 = -17, a5 = 53, and a = -167. Find a₁, 92,…

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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: 1 -1 2 2 1 -1 A = 2 B = 1 3 2 4 C = 1 -1 4 -4 Find A - B, A+ B, and A + C.

A: Here, A and B are of the same order so A-B and A+B is possible but A+C is not possible because A and…

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: If a = (3, –3, –10) and b = (-8, –4, –10) find a · b =

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Q: 18-7х b. 5-6х 5x+9y 7у-12х 3+11х 2. 5х-2у 5х-2у -6х+5

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Q: Simplify. −x²³y² − 4x²y² + xy² -7x³y² +5x² - 2x³y² O-9x³y2²-4x²y² + 5xy² O-14x³y²-4x²y² + 5xy²…

A: Simplify

Q: then A-¹ = A -2 00 01 3 -5 00 7 4 1 20 4 1 1

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