2. Consider the set (a) Verify that this is an orthogonal basis of R³. (b) Write the vector v = as a linear combination of the basis vectors (without using any row reduction).

Q: Use a) and b) to find A-1

A: Let's find inverse of A from given results a and b.

Q: If a has order hk, then the order of ak is : а) hk b) h c) k O b O a

A:

Q: A = B = 2 (1) Find a matrix C which satisfies 3A + C = B. C = (2) Find a matrix D which satisfies A…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: proof CAUBIC)= PLA|1B) t plc1B)- p(A nel13)

A: Given that  Three events A, B and C such that  P(AUB|C)=P(A|C)+P(B|C)-P(AnB|C)  Which is the correct…

Q: 1)   If A =         2  -1     and   B =         1          -2                           7   0…

A: We are given A=[2-17  0],  B=[1-23-3]

Q: Prove that AABC A DEF. C=12. D2,4) E(4, 2) 6-14.214 A6 4)

A: Compare the lengths of both the triangles.

Q: In(Inb) 16. What is the simplest form of b Inb ? A) Inb B) In(Inb) C) e* D) blnb

A: Given that: bln(lnb)lnb

Q: 1.) Perform the indicated operations   A.)     i 2 + i 3 + 4    B.)      i 1997 + i 1998  + i 1999…

A: Note "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Evaluate 16-2 A) -24 B) 64 O c) 1 64 OD) 1 64

A:

Q: (A1+A2+A3+ +An)" = a) Af + A + A +..+ A b) A +A1+.+A + Af n-1 c) A+ A 2+.+ A + Af d) A + A-1+ .+ A +…

A:

Q: 1-In which condition the LCM  of two numbers is one of the numbers? Give an example? 2-In which…

A:

Q: Prove whether u(x, y) D={(x, y) | a <y}. If and are harmonic functions, show that 67-670 is…

A:

Q: PROB.NO. 1 A) USE PROPERTY 9 (EXPAND ABOUT COLUMN 2, REF. ELEMENT = a23) 1 3 5 7 det A = 4 8 5 7 11…

A:

Q: 1,2, ..., let A; = {i,i + 1, i + 2, …. }. Find ỦA. For i i) ii) N A, i=1 i=1

A:

Q: 9f a,b,c,d EN & a = b frod n) C=d(modn) sherw that bd(radn)

A:

Q: 5. Let A 3D, В %3 and C %3 Find a) (A · B)C b) А : (2С) c) ||B||2

A:

Q: . Let and B = Find AYB. h) AAB c) AOB.

A: The matrix are:A=11 01B=01 10

Q: Let A = {c, d, f, g), B = {f, j}, and C = {d, g). BcA A True B) False

A: topic - sets

Q: 3. Determine whether each of these statements is true or false. а) ОєФ b) Ø E {0} c) {0} c Ø d) ø c…

A: We know that ϕ is subset of every set. And a∈A if a is an element of A.

Q: Evaluate a) 2 + V7)dr.

A:

Q: 98! 1. Simplify. : 100! a) 100 x 99 x 98! b) 1 100 x 99 x 98 c) 100 × 99 d) 1 100 × 99

A:

Q: If A a) N{A} b) N{B} c) N(ANB) d) N(AUB) {1,2,3,4} and B {2,4,6,8}, find: =

A: To Determine:  find                           a)NAb)NBc)NA∩Bd)NA∪B Given: we have A=1,2,3,4   and…

Q: k GsGe) x Since) X>0

A:

Q: The layout of the city of Computing with land masses and bridges is shown below. Select the graph…

A:

Q: a) In1/e b) eIn5 c) In1/3 d) 2Ine e) 5In1 and F) Ine1/3

A:

Q: Which of the answers below is the ordering of these running times from fastest to slowest? a)…

A: We have to arrange the following sequences in order from fastest running times to slowest. (a)…

Q: If n(A) = 62, n(B) = 19, and n(A ∩ B) = 4, find n(A ∪ B).

A:

Q: where P =n+p+h is the total population, and a and b are some real numbers (which you do not need to…

A: We are given the following information. The population has been divided into three categories:…

Q: 2.) Find all possible digits that can be pl 1,182,1_4 a.) Divisible by 4 Your answer

A: Given digit is : 11821_4 To find all possible digit that is divisible by 4.

Q: Is Z4OZ10 = Z2OZ20 a) True b) False

A:

Q: 16 广一 re* da. 3 a) b) C) 2 d) e)

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.