Sketch the vector field. У x F(x, y) = ( - 1/2, 2/2 ) x У 20 0 2 -20 0 -2 2 2 -2 2 -2 -2 2 -2 4 3 3 2 1 -4 -3 -2 -1 2 3 -1 -2 -3 -4

Describe all solutions of Ax = 0 in a vector form, where %3D -4 -2 0 3 -5 20 -1 0 0 0 0 1 | 1 A = 1 -4

Express the vector -9-7x- 15x² as a linear combination of p₁ = 2 + x +4x², p₂ = 1- x + 3x² and p3 3 + 2x + 5x²

Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 0, -4). Find 2u + 3v - w. STEP 1: Multiply each vector by a scalar. 2u = 3v = -W = STEP 2: Add the results from Step 1. 2u + 3v - w = X

Find the vector equation of a line L going through the point P = (-5, -6) and parallel to the line generated by multiples of the vector v = --HA 1 L(t) - +t

The set containing the elements specified also possesses its relevant operations of multiplication over reals and vector addition. Is the set a real vector space?

Which statement is NOT true? When using the conv command, the two polynomials have to be of the same order. When subtracting two polynomials, their coefficients vectors must be the same size. The built-in function polyder can be used to calculate the derivative of a product of two polynomials. When multiplying three or more polynomials, we can use the conv function repeatedly .

4. Identify the type of answer that results from each operation (vector or scalar). If the operation is not possible, indicate why. a. k'x (ā x b) а. b. (a' x b) с. К. (аxb)

If a = (5, 0, -1), find a vector b such that compab = 5. b =

The set containing the elements specified also possesses its relevant operations of multiplication over reals and vector addition. Is the set a real vector space?