Let A = [1111;0101;1212;0-10-1] = [1 11 1] [0 10 1] [1 21 2] [0-10-1). Find bases for the column space and null space of A.

Q: Let H = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f} Let W = {(a, b) : a € H, b = H} be the…

A: Answer:-

Q: f α and p are constructible, then a ± p, ap and a/p when ß # 0, are also constructible.

A: (i) Since ? and ? are constructible so that (?,?) is constructible. The circle (x-?)2 +y2 =?2 is…

Q: a) 11001 / (01011 v 11010) b) (01011 10101) + 01010

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Q: Let A [ - 5 13 12 13 2333 12 13 5 Explain why A-₁ = AT. -1 13

A: Step 1:

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Q: Z/mZz Zm

A: We need to prove that Z / mZ is isomorphic to Zm .

Q: 61 Let A = Compute 612 - A and (612)A. 4 2

A: Step 1: Step 2: Step 3: Step 4:

Q: Define a * b = 3a + b, where a, b € R. Find the following: 1. 8 * 3 2. 3 * 8 1+2 3. 3+4

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Q: [1 -2 3 3 4 12 -1 -21

A: Given : Matrix  1  -2  3 3  0   4 2  -1  -2

Q: Use A−1 to decode the cryptogram.

A:

Q: 1 Evaluate dx 2 x*V1+x 2.

A: We have to evaluate , ∫1x2 1 + x2 dx

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Q: Find the first 3 Maclaurin polynomials?

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Q: what do the ks stand for in the exel tables

A: The Runge-Kutta method is a numerical technique used to solve ordinary differential equations (ODEs)…

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Q: 2 2 Let A = Compute 412 - A and (412)A. 6-2

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Q: A = [12] 13 compute 4-3

A: Solution :- First find the inverse of matrix A Here A =1213A-1=1213-1Find 2x2 matrix inverse…

Q: Let i be a positive integer and A, = [-i+1,1]. Then U2, A

A: We have to use properties of union in this question.

Q: Find the index of 5 relative to each of the primitive roots of 13 (a) 2 (b) 6 (c) 7 (d) 11

A: To find the index of 5 relative to each of the primitive roots of 13. We know that p be prime number…

Q: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 7 10 8 9 93…

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Q: 7. Simplify 188 – 3/27

A: Solution :-

Q: 100 If A* = a + bi, compute for a and b.

A: To compute and a and b.

Q: .

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Q: Let à = (0, 3, 2), b = (3, 1, 1), and c = (2, 6, 3). a Compute the following: = (a - b) (à · c) :…

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Q: H.W Compute the following products: 7 a. 1/3] -2 31 7 -6 21 ь. [3 -1 4] х| 5 1 -4

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Q: A=[1 2 3 5, 9 13 26 15, 4 -1 0 3, 6 9 11 7] compute A-1

A: Given matrix is  A = 123591326154-10369117 find A-1

Q: Find a basis for Nul A, if 1121 A= 1 1 2 235

A: Let  Let Recall  the definition of Null  space  of  A.Null, null space of A. Using  the  above…

Q: Evaluate the Boolean power A3 where [1 01 A = 1 1 1 1

A: Boolean Product : Let us consider two matrices A=[aij]m x n  and  B=bijn x p be zero-one matricies.…

Q: A national park has eighty thousands nine-hundreths twenty-three and eighty-six Hundredths acres of…

A: Given that  A national park has eighty thousand nine hundred twenty three and eighty six hundred…

Q: Let A= 130 O 1 o 391 ダメ %3D (AT)! A+AT %3D コロ

A: Given- A = 130010391 To find-  A-1 AT-1 A + AT

Q: polynomial in V2+i and compute the conjugates of i over Express i as a Q(/2 + i).

A: As per the question we have to express i as a polynomial in (√2 + i) and then compute its conjugate…

Q: Use matlab to calculate each of these values

A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:      MATLAB CODE THAT CAN BE DIRECTLY COPIED TO…

Q: If all 422 a33 A || || || 1 3 1 determine the following entries: 3 -5 -1 2 -1 -3 -1

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.