5. For each of the following matrices, compute the rank and the inverse i it exists. (a) (13) (d) (b)(3) 2 1 2 1 (c) 1 3 4 2 3 -1 2 1 2 1 2 1 -1 (e) 1 2 (f) 1 0 1 2 4 -5 10 1 1 1

Q: Assume that the committee consists of 10 Republicans and 5 Democrats. A subcommittee consisting of 5…

A: Given Information: Assume that the committee consists of 10 Republicans and 5 Democrats. A…

Q: 1. 2+(9-4) 2. 2 (13+5-14+(3+4)) 3. 7+(12-3) 4.7+(12-3)-

A: 1. 2+(92 - 1) = 2+ (81 - 1) = 2 + 80 = 82     2. 2.(13+5-14÷(3+4)) =2.(18 -14÷7) = 2.(18-2) = 2.16 =…

Q: In (IR, Tu), if A = (3,5) n (Q – N) then A %3D

A: Given that in the topological space ℝ, τu ( the usual topological space )            A=3,5∩ℚ-ℕ Then…

Q: Simplify: 24 4[2 – (5 – 2)1 (Section 1.2, Example 7) – 6

A: 24÷[2-(5-2)]2-6

Q: ん

A:

Q: 2. (Section 17.6) Evaluate Jy²ds where S is the part of z = 3 + y inside a² +y² = 9. S

A: We have to find ∫S∫y2ds where S is the part of z = 3 + y inside x2 + y2 = 9

Q: o How many ways six persons can stand in a line such that two specific persons do not stand close to…

A: six person want to stand in line and two specific not want to stand close to each other. we have to…

Q: 4- Suppose that A = {x1 = (2,0,1), x2 = (1,–1,4), x3 = (-1,–2,1)} and B = {y, = (-1,0,2), y2 %3D %3D…

A:

Q: 4. Let gcd(a, b) = d then which of the following is correct (a) d = ab (b) (ax + by)|d (c) d[(ax +…

A:

Q: Prove the following in axiomatic system. (A- (-B - C),~B}-A-C

A: Laws of inference are very useful in proving mathematical statements. We can build a sequence of…

Q: 5. Use set builder notation to specify the following sets: * (a) The set of all integers greater…

A:

Q: 3. Detemine L i2 l(s+2)*S

A: We have to find the inverse Laplace transformation.

Q: Can you find a,b,c, and d (if exists) such that AB = BA.

A:

Q: In a group of people, 68 people can speak English, 45 people can speak in Arabic and 19 people can…

A: It is given that 68 people can speak English, 45 people can speak Arabic and 19 people can speak…

Q: Example 26. In how many ways can 7 gentlemen and 7 ladies be seated at a round table so that no 2…

A:

Q: 4. If 1 8! + 1 X find x. 9! 10!

A:

Q: 6. Show that for n attributes A, A2, A3, ..., An (A, Az Az ... A, ) > ( A, ) + ( A2 )-(A3) + ... + (…

A:

Q: How do the concepts of duality and the golden rectangle relate (Write at least 7 sentences)? Give at…

A: Given below clear explanation

Q: Bus # 99 and Bus # 135 both leave city hall station starting at 6:30 am. Bus # 99 runs every 15…

A: The starting leaving time and the running times of both buses can be used to calculate the next…

Q: Expand 1-In (e 29-x) 2

A: Expand lne29-x2

Q: does AI = A hold or not?

A:

Q: [-1 2 Q5/ Let A = |-2 5 -3] 3 4 ,then the C33 is 0 1 -1 -10 -2

A:

Q: Is {3} E {0, {1}, 2, {3}} ??? O True O False

A: Concept:

Q: In a class , there are 6 boys and 5 girls . How many ways can we form a committee / group / team of…

A: Using permutations and combinations we can solve for the total number of ways in which a group of 6…

Q: Example 52. A committee consisting of 5 members is to be formed out of 6 men and 4 women. How many…

A:

Q: If C(12,4)+C(12,5) = C(n, 5), then n is equal to

A:

Q: What is (5, 7) N (6, 8]? What is (5, 7) U (6, 8]?

A: Solution: The given sets are

Q: Suppose that A = {Biology,Chemistry,English} and B= {Biology, English, Philosphy, Psychology} Then…

A: A∩Bis the set of elements which are present both in A and in B

Q: A ∩ B = ∅, P(B) = 0.6, P(A ∪ B) = 0.6.  Find P(A).

A:

Q: Example 2. In a class of 50 students, 40 speak Hindi, 20 speak both English and Hindi and all the…

A:

Q: Section 3 9. 15 students are present in a class. In how many ways, can they be made to stand in two…

A: We have to find no. Of permutations possible.

Q: 2 cas (nt) at

A:

Q: (3) In how many ways can 5 boys and 2 girls sit in a row if just the girls are to sit together?

A: Permutation is a method in mathematics that is used to find the number of ways in which certain…