Describe all solutions of Ax = 0 in a vector form, where -4 -2 0 3 2 0 0 0 1 1 A = -1 -4

Q: In each part, find all the roots and sketch them as vectors in the complex plane. (a) (-i)//² (b)…

A: Note : Since you have posted a question with multiple subparts, we will provide the solution only to…

Q: Let 2 = (-8,1) and To (-7, -2) Compute the following vector B Prijz To projections.

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Q: Let a = (-8, a, 9) and b (B, -6, 6) where a and 3 are unknown real constants. We know that the…

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Q: What is the zero vector?

A: We have to define

Q: If vector A = [4/1] and vector B = [-3/2] find A-B

A: Here two vectors A and B are given we have to find A-B.

Q: mich is an equation of the plane that passes through the point (2, 3,-7) and contains the vectors…

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Q: Which of the following represents vector u = (37,-51) in linear form?

A: u=-51i+37ju=37i+51ju=37i-51ju=51i-37j

Q: what is the graph of vector B = C - A??

A: First we mark A and C vectors then we find -C vector  The resultant of A and -C will be B as B = A -…

Q: Describe all solutions 2 -1 3 -4 2-6-2¹] of Ax = 0 in parametric vector form if 11

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Q: How do you determine if two vectors are orthogonal?

A: If we are given two different vectors , then they are orthogonal if they are  perpendicular to each…

Q: 7. (а) X1 3x2 = 1 2x1 - 6х, — 2 | %3D

A: The solution is given as

Q: 4. Convert the equation (x = 10 + 5t : 10 - 2t = to scalar form.

A: Given the problem that the parametric equation is x=10+5ty=10−2tthe aim is to write the equation in…

Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: Suppose the equation ax + by = c corresponds to the vector (a, b, c). To what equation will…

A: Given that:The equation ax+by=c corresponds to the vector ⟨a,b,c⟩. (1).The given vector is:…

Q: Find two linearly independent solutions of y" + 6xy = 0 of the form 1 = 1+ a3x³+ a6x° + · · . Y2 = x…

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Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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Q: Given that write 4 A -4 -5 -2 -57 2 - 3 5 3 61 -3 as a linear combination of the vectors 16 6 5 + [1…

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Q: Write down all of the solutions (if any) to the following system of linear equations. Give your…

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Q: Find a vector orthogonal to both = 10 2 and w = 2

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Q: Find an equation of the plane through the three points P = (0, 0, 4), Q = (-3, 4, 0), R = (-1, -2,…

A: The given problem is to find the equation of plane passing through the given 3 points P(0,0,4),…

Q: Find two linearly independent vectors perpendicular to the vector 2 -5 -9 D =

A: Two vectors are said to be perpendicular to each other if and only if their dot product is zero.

Q: Express the vector - 14i + 8j - 8k as a product of its length and direction. - 14i + 8j- 8k =TOi+…

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Q: evaluate and simplify into cartesian form (2+j3) / (5-j4)

A: Multiply the numerator and denominator by the complex conjugate of 5-4j

Q: Write out the expressions a- Va in index notation for vector a

A: Let us consider a vectora→ = a1i^ +a2j^ +a3k^where a1 , a2, a3 are functions of (x1, x2 & x3)and…

Q: That is not correct. The first Vector answer is [-2/3, -1/3, -2/3] (column wise format.)

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Q: The amount of money currently in your bank account is an example of a vector. O True False

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Q: Table the linear and non-linear forms of pseudo-first-order and pseudo-second order equations

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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.