2 -2 1 -2 -5 3 Let A = 3 7 -8 then -2 -5 7 3 3 17 -8 16 det(A) : 4,

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 31 -1 1,D 31 2 1 Let A = -1 -1 3 В 3 1 -2 1

A:

Q: y r-10| 1 -1 2 22 (b) y리-110| 1 -1 2 02 (a) 02 02 0000 1 2 02 1 2 2 2 y\x-101 -1 0 12 (d) y\r-101…

A: The objective is to match the table with the contour diagrams

Q: -1.8,2.4,6.6,... a=3-5n q =.25(4)*1 %3D a = 4.2n-6 a =-2(.75)*-

A: We have to find general rule of the sequence  -1.8, 2.4, 6.6

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: -2{-12/-3+2[2²-12-√100]-(3²)}

A: We want to solve the given basic mathematical operation problem.

Q: 2n n+ 3 -8 I. (-3)" n=1 1 II. 2" A) I only B) Il only III only

A: ∑2n/(n+3)n=1∞ ∑-8/(-3)^nn=1∞ ∑1/2nn=0∞

Q: Show that A and B are not similar matrices

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: 3 0 0 -2 3 -3 M =|0 2 -2 3 2 -3 -2 det(M) =

A:

Q: 2 2 -2 If A = = -1 0 3 -4 -4 and B -2 0 th 1 -3 3A – 2B and 4AT 24

A: Given: A=22-4-10-43-4-4 and B=30-2-2021-34 To find 3A-2B and 4AT

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: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

Q: 5 -1 -1 3 2 2 4 (2) Let A = 1 2 1 2 0 1

A:

Q: 4 -5 4 0 -5 -1 1 В. С 4 -5 0 2 -2 0 1 4 1 -2 2 ЗВ - С %—

A: Solve the two matrices B and C, in the form of 3B-C.Multiply the scalar product 3 with a matrix B,

Q: 3-26 aluate: la-4 where a = -1, b 6, and c = -3

A:

Q: 7 1 -4-8 -1-7 -10 2 [E [G -4 2 15 -10 4 -3 0 [E] + [G] =

A:

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: P(z -1.16) = P(z 2.61) = P(0 < z < 2.32)

A: We will use Standard Normal table to find the required probabilities.

Q: [2х 0 • If -2 + 0 21 2 0 31 then, 3 y] 4 1. х %3D —2,у %3D 3 2. х %3D 2 ,у %3D -3 3. x = -2 ,y = -3…

A: It can be solve by matrix addition and by coordinate comparison

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: 5 -4 1 - 2 -1 1 8 8 -2 6 -9 2 6. If A = 7 8 3 -1 B = -7 9 2 1 8 2 -4 -5 2 -5 Find: AB 3.

A: To find  AB

Q: -1 31 -1 1,D 1 3] 2 1.8 = -1 Let A =, [2 -1 3 C = 3 L-2

A: To determine product of  CA

Q: 25. -3(4w – 1) > 18 ++++++H -4 -3 -2 -1 0 1 2 3 4 +++ maldong dase 27. 쏘크2-3 4x-3 十十 ++++ +++++ -4…

A:

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: -2 1 -3 A = 12 10 7 1 -4 and 1 7 B = -3 1 3 8 7 Then tr(2A" + 3B) || 3.

A: The solution is given as

Q: Use A−1 to decode the cryptogram.

A:

Q: 2x-26(5-+ 25=0 1 25 0 2文+1 26 (5*) +5 = 0 2. 3(3)+e(3*)-3= 0 12

A:

Q: 2 1 1 1 0 1 2 4. A = | 0 1 1 , B = | 0 -1 [2 0 1

A:

Q: -3 -5 1 7 1 0 -9 7 -5 -3 If A = 0 0 4 7 3 0 0 0 -6 -4 0 0 0 0 -5 then det (A)

A:

Q: 2 2 4 3 15 3. 1 Let A = 2 1 1 B-' = 4 -2 5 -1 4 3 If C = (B" A-)-1, Then c, = A) 13 B) 26 C) –3 D)…

A:

Q: -8 0 0 If A = -9 -8 0 -9 2 6 then det (A) =

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: [0 1 -1 Let B =50 3 , then det (2B) = 13 0

A: Given:

Q: -4 -3 -4 -4 If A = -4 -3 3 and B -2 -4 1 then 4 4 4 1 1 -3 2A – 4B and | ĄT ||

A:

Q: 3 7 -6 -7 4 0 -7 -5 7 5 If A = 0 0 9 -2 -3 0 0 8 3 0 0 0 0 -2 then det (A)

A:

Q: 1 3 5 8 - 37 13) 3 8. 7 Ans. r = 3 0 - 37 0 37

A:

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

A:

Q: 2 30 14 -2 -1 2 -4 1 3 1 11 A = ,A = -7 0 0 0 -2 Select an Answer 3. 10 0 0 0 1 -1 -1 2 0 2 3 A = ,2…

A:

Q: -4 2 -1 -2 | Let A = and B = Find B-A, if possible. 4 0 7 3

A:

Q: т + m-12 т-16 Student's Work Student's Answer А. m+3 ; т# 4, т# — 4 4 В. m - 3 т-4i m# 4, т# — 4 С.…

A: Topic = Algebra   Correct Answer = B

Q: AY -2 +4 if - 3 3 -I+5 6 5 4F 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -2 -3 -4 -5 -6 -7F

A:

Q: 1. A= || 2 - 1 31 202 2 0 -2 3 1 74 59 لیا 3 45 14 Show that 8 -3 1 -7 00 OT B=0 4 a = 4, - 5 2 b =…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: -3 -1 -3 0 6 B = [ :1. A= -3 14 5 3 0 -21 .c = | -1 3 4 v =| 1 u = [1 -2 0] 2 35

A: Given matrices are A=1-30-31000-2   B=-1-3064530   C=1-1341235 v=31-1   u=1-20 Problem 1: The…

Q: -1 3 5 7 3 -1 6 3 2 4 -2 Given: A = 2 -1 1 4 -2) Find: |A|| 3. 2. 1.

A: Solution

Q: 0.4 - 0.1 Q2] (3 Marks): If 13b then a,b are equal to : -0.2 0.3 a=5, b=2 a=1, b=10 a=1, b=1 Option…

A: Solution is here

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.