Task 2 a. What is 4 congruent to in the (mod 2) relation? Write out three solutions for a = 4 (mod 2). b. Write out three solutions for a = 9 (mod 5).

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Q: Let u = (-6,1) and let v = (6,-3). Find the value of u ÷ v

A: If we have two real numbers x and y  x/y=z ; Only is yz=x Similarly

Q: Let u = , v = , and w = . find uw

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Q: Find the following

A: Given integral is: ∫-9t-2.5-2t-1

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: Let à = 2i +4j - k. Find a.

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Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: Let u =, 7 = and = 16, 32, 0 >. Now, is a linear combination of u, v and w. That is, x = a₁ + a₂ +…

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Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

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Q: (7, -8) and w=(-4,8), Given v= find v+w. v+w=

A: We know that, A vector in form of V→=a,b is represented as V→=ai^+bj^

Q: 0 b and B: b Let A = Show AB = - BA.

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Q: Determine if b is a linear combination of ā1, ãz and dz. 6 = 2 3 16

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Q: Let A = -2 3 1 0 -1 1 0 2 1 Then cofactor, C2,1 =

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Q: Determine whether b can be written as a linear combination of a₁ and a2. In other words, determine…

A: Please refer to the solution in next step.

Q: Let l1 and l2 be as above. Describe precisely the intersection l1 lz and justify your answer.

A: Ans: