2. Using the identity [1 2 1 [2 0 –1 1 2 -6 5 - -4 3 compute -6 5 [1 1 Hint: 2 -1 I2 1 2 -1

Q: Determine A-1 if 13 1 A = 1 1 2 234 O A. A-¹ = 2/3 9 -5/3 0 -2/3 1/4 1 -3/4 2/5 OB. A-¹ = O D. A-¹ =…

A:

Q: [(r* - 1) (4 – x* )ax

A:

Q: a. a.5 -21-3 1/3] а. 4 -2 3 b. [3 -1 4] 5 7 -6 1 -4 2

A: a.) 1-250-37413 = (1)(-3)+(-2)(4)(1)(7)+(-2)13(5)(-3)+(0)(4)(5)(7)+(0)13= -3-8   7-23-15+035+0=…

Q: Let 1 0 -2 1 0 0 -1 -3 1 3 %3D -1 1 -1 1 3 0 -2 3 -4 Then nullity (A) O None 3 2 4 1.

A:

Q: التاريخ : 2 We can rewrite axt(1-d)y-xo. as follows @q (x-x₂) + (-a)y 2 (x-y)- (X-X₁) a(x-X ₂) +…

A: Using the property of inner product. In question #2 , if the metric is induced by inner product then…

Q: Determine whether each of the following is singular or nonsingular: 4 1 -21 i- A= |1 7 [3 2 4] ii -…

A: (i) The given matrix is A=41-2173581 A square matrix is said to be singular if det(A)=0 and…

Q: [1 1 1 1 3 1 3 1 2 2 2 2 *|-jx7.558 1 3 1 1 3. 2 2 2 2

A:

Q: Suppose that 2 1 -3 1 A = 1 -1 В 5 1 1 3 -3 Which of the following operations are defined: (i) CB"…

A:

Q: 1 1 2.- 2. Is b₁ = 2 in the null space of A=-1 L-3] 1 -1 1 1 -1? What about b₂ -1 1 ГО =6?

A:

Q: (7- 8)2 | /8-ん (e-)」ade-)|I/8-ん Hence, 2By < 1, (7 – 6)2 vhich can be written as |a(y – 8) + 3||y –…

A: I have only deducted the green part as per your request.

Q: [1 2 [1 0 3 andC = 2 1 1 1 1 2 31 1 1 a) LetA =|-1 2, B = 2 2 1 . If possible, -2 1l |1 3 -1 -1…

A:

Q: 1 2 a) Let A =-1 [1 2 B = 2 2 -1] [1 0 3 and C = 2 1 li 1 31 1 1 1 If possible, -2 1] li 3 | compute…

A: Solution is given below:

Q: 1. Perform the following operations A+B A - B 2A-B A = 32- -11 [0 2 1] 5, B = 5 4 2 2 1 0 2 4 0 1 2

A:

Q: Find an explicit formula for 1/(2-1/2), 2/(3-1/3),3/(4-1/4),4/(5-1/5)...

A:

Q: 1 + 1 1 Simplify 1 1 х — 2 х — 1 - 1 2 - 1 O 2x – 3, x 1, x + 2 -1 2x – 3 O 2x – 3, x + 2. |

A:

Q: Compute det A, det B, det (AB), and det (A + B) for -2 1 2 +*+ A = -3 -1 -4 4 −1 3 det A = det (AB)…

A: A=-212-3-1-44-13  B=2-3-4-1-3-3217

Q: Write down the (1,1) entry of [1 3 A 2 4 7

A:

Q: 2 3 2 If Eij= 3 -1 5 then the invariants are 25 -4 I1= -7 ,I2= 12,I3 = 50 .I %3D I= -1, I2= 12 , I3…

A: Given that,

Q: Show that det [1 1 0 0 1 1 0 0 1 0... 0 0 1 ⠀ ... 0000 1000... 00 00 11 0 1 = 1+ (-1)"+¹.

A: As per the question we are given a matrix determinant, whose all diagonal and super-diagonal…

Q: Consider the truth table for the connective '' with two simple declarative statements p and q. Р q T…

A:

Q: 6x + 7 -dx. S₁ (x + 2) 2dx 6 In |x + 2) + 5(x + 2)−1 + C O 6 In |x + 21-5(x + 2)−1 + C Evaluate O 5…

A:

Q: -1 31 -1 1,D = 3] 1.0 -6 -1 3 Let A = 3 B = C = 3 1 -2 1

A: Topic:- subtraction of matrix

Q: 3. Compute the det A for 0 1 -1 0 -1 3 1 2 A = 2 2 0 -1 - 0 1 -2 1

A: As it is a 4 by 4 matrix we can expand our ain't any column and find the determinant of matrix

Q: The multiplicative inverse of 1+ 4x in Zg[x] is: 4x+1 6x+1 None 1/(3x+1)

A:

Q: 9. Prove the following algebraic identity: (a - b)(a? + ab +b?)=a' -b'

A:

Q: (x-1)2 (y+2)? What are the endpoints of the conjugate axis of 25 - 36 O (1 ± 5, –2) O (1, -2 ± 6) O…

A:

Q: -3 Let A = -1 -12 -5 5 20 -47] -21 80 Use the fact that det (A) = 5 to compute -6 -2 10 -10 40 -94…

A:

Q: 1 -1 1 1 -1 1 4 2 3 Suppose A=1 1 0,B =|1 1 0,C=0 -1 5,and AXB = C ,find X 2 1 1 3 1 2 1 1 2.

A:

Q: 2. 2 구 1 (x-4)2, (y+5) 10 (1+5)-1 구

A:

Q: lim,-1 f(x) =

A:

Q: (c) How many of the elements of Z186 have multiplicative inverses?

A: To find the number of elements in the set of integers modulo 186, which have multiplicative inverse.

Q: If / (7-4) (x + 8) 12 O 4 dx Adx - A+B 4 Bdx x+8' , then A+B =

A:

Q: 6. b. a. does not exist Find the inverse of -1 -1 Ed -4 نما 3 -4 -1 1 if it exists. C. 1 1 B 4 3 d.…

A: Given that the matrix 3-1-41

Q: Compute: 3] 2 5-3

A: 1.a1a2a3a4+b1b2b3b4=a1+b1a2+b2a3+b3a4+b42. Two matrices can be added iff the order of the marices…

Q: ow that postage 6 cel using or imps. (Consider the basis step for 6 and 7 cents, and the generic…

A: Given that postage of 6 cents or more can be achieved by using only 2-cent and 7-cent stamps.

Q: 1 a) Let A =-1 [1 0 3 and C =2 1 l1 31 [1 2 1 1 B = 2 2 1 If possible, -2 1] li 3 -1] 1 compute (A"…

A:

Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

A:

Q: Convert the following LP into the standard form: max z 2x1 + 5x2 + 33 %3D s.t. x1 2x2 + x3 > 20 -…

A: We are given LP.  max Z  =  2x1 + 5x2 + 3x3s.t   x1 - 2x2 + x3 ≥ 20        2x1 + 4x2 + x3 = 50…