3. Find the eigenvalues and cigenspaces, as well as a basis for each eigenspace. (a) [88] 12 3 4 000 (c) (e) (g) (1) (k) 0-0 0 2 00 0 -5 0 0 04 200 01 1 0 1 0 2 1 02 102 (b) (d) (D) th) (j) = 10 -3 6 000 030 00 0 3] 2 200 5 3 0 4 4 00 1 00 1 1 1 1

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 n and sn  If a = 5 , d = 3 , an= 50

A:

Q: S t Vat²-b dt

A:

Q: If A={3,4,5}   B={a,b,c}. Find B X A.

A: Explanation of the solution is given below...

Q: 3 Let A= (MA-|| _23]~B-[2²] and = 6-9 -4 -6 Find - 2A + 2B. - 2A + 2B=

A:

Q: find a, b, c, and d.

A: a+bc+dc-da-b=46102⇒a+b=4  →1,  c+d=6  →2,  c-d=10  →3,  a-b=2  →4 Now adding equation (1) and (4),…

Q: Find the following for p =, q =, and r =. Find -2p - r

A: Given that,    p = -7, -6  q= -1, -11, r= 0,9 we have to find the value of -2p-r.

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

A: Solution

Q: Find a, b, c, and d, if а b 1 3 d 2.

A: A matrix is an object with certain number of rows and certain number of columns. An entry in a…

Q: = Let A = 9 -6-1 Find 4A + 3B. 4A + 3B = 7 and B = -2-5 7 8 (...

A: We will find the required.

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: Let B = [b1, b2, b3] = -1 -1

A:

Q: Let B = [b1, b2, b3] = -1 -1

A:

Q: Find A for

A:

Q: Find A. A = (3A)-1 · [ = 10 4 21

A: We have to find A using given data.

Q: 3 If A = - 1 Then ||All = -2 4 Select one: а. 3 b. 6 C. 5 d. 4

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Q: 4c + 36 ÷ 3 + 4(1+2) if c = 5

A: BODMAS Rule: B - Brackets O - Order of powers or roots D - Division M - Multiplication A - Addition…

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: If a = [5,-2,1] and b.= [-1,-3,4], find | -a + 2b |

A:

Q: 7. Given i = (-4,4, – 4] and [- 5,6, 2] find b. i • i

A: Given:         u→=-4,4,-4        v→=-5,6,2

Q: The order of (3, 4) in Z4 × Z10 is  a. 4 b. 12 c. 40 d. 5 e. 20

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A: We are asked to find the extreme value of the graph

Q: HiW÷Put ãsQr T +axÑ if

A:

Q: If z 2 = Rep, then write za+iß as Ae B

A:

Q: an = an -a t an -z and a,=3,az =9 az= as =

A: Given :

Q: Find x if mZ1 2x+ 10 and m22 3x-6. O a. 4 Ob. 24 Oc. 42 Od. 16

A:

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

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Q: If ZDEG = ZFEG, DG = 4s, and FG = s + 33, what is FG? G F E FG =

A: Solution: The objective is to find the value of FG

Q: if N { A U B }= 90, N {A}= 50, and N{B}= 45, find N {A n B}

A: Given :NAUB=90  NA=50 NB=45

Q: Let B = [b1, b2, b3] = -1 -1

A:

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

A:

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 6-3 9. 2 7 50 3 (-2)R, +R2 -8 3 4. (-2)R, +R2 = %3D Enter vour answer in each of the answer b 4)

A: 16-3275-834-634perform -2R1+R2

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: Given that A=6-j1 and B=2+j3, find A*B

A:

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

A:

Q: Simplify. (3)-³ Select one: 12 a. b. 4/2 - 125 64 C. c. 1/1/2 d. - 64 125

A: The answer is given below: