Q8) [M]: Use python (print out your works): Determine whether is w is in the column space of A, the null space of A, or both, where 1 -8 5 -2 0 -5 2 1 -2 ‚A= 10 –8 6 –3 w= 3 -2 1 0

Q: A D 6. Calculate the standard deviation of the set of data to two decimal places. Refer to the…

A: The objective is to find the standard deviation of given set of data.

Q: 7. Which of the following are linear combinations of = (0, -2, 2) and v = (1, 3, –1)? (a) (2, 2, 2)…

A: A vector w is said to be a linear combination of two vectors u and v if there exist scalars c1,c2…

Q: 4. Calculate the variance of the set of data to two decimal places. Refer to the previous problems.…

A:

Q: Show by an example that (AB)" B™A".

A:

Q: Determine the coefficient of xaxzx if (x1 + x2 + x3 + x4)1ª is expandec

A: This is given by the multinomial coefficient formula. We state the theorem and then deduce the…

Q: IsP2 spanned by 1 + x, x + x2,1 + x2?

A: To Show: Is P2 spanned by 1+x,  x+x2, 1+x2 ? Concept: Let V be a vector space and let S=v1, v2, v3,…

Q: 10 A- 6+ 18 13 5(7) -+5(9)²

A: Matlab code to write above expression on matlab is

Q: A={3,8,11,14,21} |A×{5}|(please think carefully before doing this)

A: Given....

Q: Evaluate. (2x+1)/x2+x-1  with endpoints 3 and 1.

A: Consider the given function: fx=2x+1x2+x-1 Now plug-in the value x=3 in the function. This gives,…

Q: how does the a in the second row become a 0

A: It is given that the row operations are performed on matrices as, 010-10a0-a0~01a-10a000~-10a010000…

Q: x²-2x-15 マ+3x-4 +5x+4 5-x What is the quotient in simplified form? State any restrictions on the…

A:

Q: You wrote that R has a zero divisor. So cancellation holds. I don't understand that. In the question…

A: Let R be a ring. If there is non zero elements a,b in R such that ab=0 then we say that R has no…

Q: 17) Explain why these two quotients are different. Compute each one. (x – 2)* x* - 16 and X-2 x- 2

A: (a-b)2= (a-b)(a-b) and a2-b2=(a-b)(a+b)…

Q: Find a counterexample to the statement that every positive integer can be written as the sum of the…

A: Claim: Every positive integer can be written as the sum of the squares of three integers. The given…

Q: 3 2 -4 - -47 1 -3 1 6 -2

A: We will find  the required.

Q: Explain why f e-a dx cannot be evaluated using u-substitution. Then give an example of a similar…

A: Consider the integral ∫e-x2dx. Suppose u-substitution is possible. let u=x2. This gives,…

Q: Determine the coeffcient of x31 + x32 + x23+ x64 if (x1 + x2 + x3 + x4)^14 is expanded.

A:

Q: Suppose A = {1, 2, 4, 5}, B = {2, 3, 5, 6} & C = {4, 5, 6, 7}. (a) What is (A ∪ B) − (C − B)?(b)…

A: We have given A = {1, 2, 4, 5}, B = {2, 3, 5, 6} & C = {4, 5, 6, 7}.

Q: 7. If aatiß = (x + iyy*4, a>0, prove that %3D (i) a = 5 log, (x + y) -q tan log, e- loga (r + y) =…

A: The given isaα+iβ=x+iyp+iq,a>0.prove thati α=12logax+y-qtan-1yxlogaeii logax2+y2=2αp+βqp2+q2

Q: Estimate the error in using the partial sum of 35 terms of the series > k=1 Error < Hint: Use the…

A: The given series is ∑k=1∞ 6k6. We have to find error.

Q: Show that a6-1 is divisible by 168 whenever (a, 42)=1.

A:

Q: 2. What Mathematical Operators or function will you use to add, subtract, multiply, and divide…

A: We have to solve given question.

Q: List all zero-divisors in Z20.  Can you see a relationship between the zero-divisors of Z20 and the…

A:

Q: The graph shows a system of inequalities. -14 Which system is represented in the graph? Oyx-3 Oyx? -…

A:

Q: Find product in compuex plane [ 3 ( (os (4) + (Sin (#)) [ 5 (cos ( 2 ) +isin (1/4))) X

A:

Q: E 2 Choose the best answer. The mean of the winning scores of a bowling tourmament over the last 10…

A:

Q: The operation * is defined over the set of real numbers "R" by a * b = a + b + 1/2ab. What is 6 * (2…

A: Given that the relation defined on real number R as a*b=a+b+12abTo find 6*(2*5)?