1 1 -2 -4 A . 1 -4 and -4 4 A 1 A = ||

Q: 1 - 2 9) Ans. r = 1

A: Given the matrix . We need to find it's rank. As we know that rank of a matrix is number of non zero…

Q: 1 -1 0 3 Let A = -2 3 -3 -1 1 3 1

A:

Q: 2 0 A=4 0 0 0 (b) - 2 1 4 5 2 2 1 3 0 13 2 2 (c) A= -

A: This question is related to vector space . solve in step 2.

Q: 12. {X:Xc{3,2, a} and X= 1}

A: Here given as 12.

Q: 2 1] and B =3 2, then (AB)T is equal 1 1 1 -2 1] If A = 2 1 3 to -3 -2] -3 10 (a) 10 7 (b) -2 7 -3 7…

A:

Q: 1 0 0 0 5 10 0 A = 7 -5 1 0 -5 -6 5 1 Then A-1 %3D

A:

Q: 1 2 = 0 2 1 1 1 1. -4 4 If A = 1 -2 -3 and B 1 then 1 A +B =

A:

Q: 10 -3 A - 3 0. -12 0. -4 2. D 0. 1 %3D 4. 4日U0 234 O O 0 0

A:

Q: Evaluate the function at the indicated values.

A: kx=-x2-2x+3

Q: 0 (a) 0 V = {1, 2, 3, 4) 2 (b) o 1 3 1 (c) 1 E = {{2, 3}, {2, 1}, {3, 4}} 4 0 (d) 0 (а: Ex: 0/1 (b):…

A: Given Graph  E={{2, 3}, {2, 1}, {3, 4}} where V={1, 2, 3, 4}

Q: 1 -2 3 [1 0 2 If A = 2 3 -1 and B=0 1 2 %3D -3 2 1 2 0

A: Given A=1-2323-1-312 and B=102012120To compute AB and BA

Q: -3 (2): 4 I(2) : 1 g(u: 5 Find 38 (2)

A: Here we have,  f(2)=-3 , f'(2)=4g(2)=1 , g'(2)=5 we have to find 3fg'(2)=?

Q: P(X) X P(X) X (X-2 (X-) P(X) 0.30 0.50 0.20 7, 5. 1 2.

A: Given data; X P(X) 1 0.30 7 0.50 5 0.20

Q: 3 – i -2+i 1 a) P = Ye= -2+i b) P = Yes No -i 0

A: Unitary matrice.

Q: آذا كانت المصفوفة [-2 3 B= 3 -5 -6 1 1 7 2-=A ما قيمة -4 -1 Ar.B اذا كانت المصفوفة معرفة اخترأحد…

A:

Q: ´0 -1) A= |0 1 . 1 2 3 4 1 1 -2 1 and B= 1

A:

Q: [2 1] [1 -2 If A = and B = 3 2, then (AB)T is equal 3 11 $ 10 10]

A: A=1-21213 and B=213211

Q: 1 -2 3 -4 -2 A = 3 -4 1 det(A) = 1 2 3 1 -1 1

A:

Q: [5 -2 31 4 B = 2 -3 2] 1 Q1/ If A = 2 1 Find: -1 Lo] а) 42 b) |A| x B in N

A:

Q: Given: X1=2, x2=5, x3=-8, x4=6, yı=3, y2=-3, y3=-2, ys=2 1. E-1(xi – i)3(xXi Yi)

A: Solution just need the basic calculation , for that please go through the solution.

Q: A =  -1 0 2     0 −2 −1 3 4 5             B =  2 -1 −1     0 3 3 −1 0 1 Find A−1B

A: A =  -1 0 2     0 −2 −1 3 4 5         B =  2 -1 −1     0 3 3 −1 0 1 Find A-1B

Q: -6 -8 -2 7 0-7 6-8 [D] = -5 7 [E = -4 9 %3D -3 -4 1 3 2 4 -6 8 3[D] – 2[E] =

A: Given,            D =-6-80-7-57-3-424  and E =-276-8-4913-68

Q: [1 -2 -1 1 Let B = |0 [1 1 and let C= |2 3] 1 3 [5.

A: If a system of equation has more unknown than equations then system has infinitely many solutions.

Q: (0, 1) 135 (1,0) _(-1,0) T 180° 330° 프 315-O 210 270 (0,-1) ) 쏭 and 폴 ○ 뚱and 좋 ○ 종 and 똥 ) 퐁 and 푸…

A: As we know that  π rad=180°1°=π180°

Q: 5. 4 0 3 -3 2 A = B = 4 -1 3 0 -3 -2 1 1 0 0 - [68] D = E = 2 F = 0 1 0 -- 0 0 1 -- --| -4 -2 -1 2 1…

A: See the attachment

Q: 11. (2 + 3) 12. (1 - 5 2 13. 14. 1 + i 2 - 4i 15. 3 + 5i 10 - 5i 16. 6 + 2i

A: follow next step

Q: 3 27c"A (25)0 3 Co 3. 10 15

A: 1.(27 c4d6) 1/3 = (27)1/3 (c4)1/3 (d6)1/3                                  = 3c(c)1/3 d2…

Q: 2z – iz = 3(3 – 5i) z = -1 - 7i A z = 1– 7i z = 1+ 7i z = -1+ 7i z = 7i E

A: The complex number z=x+iy and the conjugate of the complex number is z=x-iy.

Q: 0 -2 0.5 3 1 -1 A = 2 B = 0 -0.25 and C = 1 1 1 1 -3 2 -1 -1 A+в - с

A: Given,          A=0-22011 ; B=0.530-0.25-32 , and C=1-111-1-1

Q: 1 / (1+ 1 / (1 - 1/x)) = 4, x = ?

A: see 2nd step.

Q: (-3,2) E (3,2) S (-3,-2) T (3,-2)

A: Consider the points,   B (-3, 2), E (3, 2), S (-3,-2) and T (3,-2)   To plot the given points on the…

Q: 2 -7 -6 -5 -4 -3 -2 - -2- -5 { 3 if z € f(x) = {4 if z E { 2 if z E %3D %24 2. 49

A:

Q: 2 1] [1 3 IƒA = 12 1 5 01 and B = 1 3 find AB [-2 -2 0. 5 [5 15 8. A= 15 -5 1.

A:

Q: 2 -5 -1 -4 Which of the following is equivalent to 2 + 4 6. 3 -1 O a.r 8 -26] Obr-8 -6 OCTO - 26 O…

A: This question is related to scalar multiplication of matrices:

Q: 40! p(X =x)= P)" (q)** ,x =0,1,.,40 x!(40 –x)! : A V(x) q =0.1 i 2.5 1.4 3.6

A: Given: Sample size (n) = 40 Probability of failure (q) = 0.1

Q: -3 -10 1 G] = [B] = 10 3 6. -1 4. -6 -10 [G] + [B} = Submit Question

A: Given query is to perform matrix addition.

Q: ОА. (х+82 + (у - 9)2 3 9 О В. (х+9)2 + (у -8)2 %3 3 OC. (x-9)2 + (y + 8)2 = 3 O D. (x-8)2 + (y + 9)²…

A:

Q: (1 — 2х)2 7. r=s°(9 – s?) 8. у- (2 – 3x)*

A: Using differential,

Q: 1 -2 Let A= 2 5 -3, find A!. -3 2 - 4

A:

Q: 2. p (x) = 2 x- 3 x-6 x³+9 x?+8 x- 12, by x+½

A:

Q: (a) | x – 4/3 | ≥ 3 (b) | x – 2/2 – 1/2 | < 1 (c) 2/3 ≤ − 4/5 (x − 3) < 1

A:

Q: 5. X- С(АB) А в с х A B 1 1 1 1 1 1 1 1 1

A: Given:

Q: (i) ae2* + 2xe²* = 8e2« (ii) e2 – 6e" – 16 = 0 (iii) In z+ In(r – 3) = In(5x – 7)

A:

Q: 1 -2 1 -1 -3 1 3 A = -2 -1 1 -1 3 [ 0 Then rank(A) = 1 3 0 -4

A:

Q: (т2 + 3)2г+1 (ar – 1)3 (r)

A:

Q: 2x O A. 2xx-2x (x2-x)² O B. 2xx2-6xx+2x (x²-x)2 2xx2-6xx+2x O c. x*+x2-2x -4xx+2x x4-2x3+x2 .2 2xx-4…

A:

Q: -6 > 2 x+3 Show your work: O (-6] O (-6, 00) O -6, 3) O (-0, -6) U (-3, 0)

A:

Q: 1 0 -2 [1 -4 0 -1 | 2 0 3 -1 6 5. IfA = B = 2 1 3 0 2 2 -4 Find a) 2(AB)" b) (A+B)"

A: (AB)T=BTAT (A+B) T=AT+BT

Q: 9. [12 1/12 y3 10. [ (x - y)2 ]1/3

A:

Q: Prove the property.

A: To prove - 1+a1111+b1111+c = abc1+1a+1b+1cConcept - Using row operations and then finding the…