6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b. 4x – 2x1x2 + 4x2x3

Q: Find the matrix of the quadratic form. Assume x is in R°. 5x - 4x3 + 3x3 + 18x,x2 - 4x,×3 b. 3x -…

A: We want to find matrix of given quadratic form.

Q: Fill in the missing entries by performing the indicated row operations to obtain the row-reduced…

A: We perform the indicated operation.

Q: Use row operations to change the matrix to reduced form. 1 1 1 17 2 3 8 27

A:

Q: Solve the following linear equations using the 5 methods: (Gaussian Elimination, Ga Inverse Matrix…

A: Gauss elimination: Given system of linear equation is…

Q: transpose.

A:

Q: Find the matrix of the quadratic form. 8x1x2-10x1x3 + 8x2x3 Select one: OA. 08-10] 80 8 0 O B. O C.…

A:

Q: 10x1 + 2x2 -x3 = 27 - 3x1 - 6x2 + 2x3 = -61.5 - X1 +x2+5x3 = -21.5 a. Write in matrix form. p.…

A:

Q: Find the matrix of the quadratic form. Assume x is in R³. a. 2x² +8x² − 3x²3 - 10x₁ x₂ + 8x₁×3 −…

A: Concept

Q: Let A be a 4×5 matrix with 4 pivots. Do the columns of A span R4? Do they span R5? Justify your…

A: As A is a 4 x 5 matrix with 4 pivots so, it has a pivot in its every row. So, yes the columns of A…

Q: Use the inverse of a matri:

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: Write the system of linear equations 9x – 7y + 5z 3 — 8х — 1у — 92 -2 — бх + 1у — 52 2 as a matrix…

A:

Q: Use row operations to change the matrix to reduced form. 1 1 1 19 569 31

A:

Q: 5. Find the change of coordinates necessary to express the quadratic form with a matrix A = [₁3] as…

A:

Q: Use row operations to change the matrix to reduced form. ::: 111 16 458 32

A:

Q: X1 — 5х, + 2х; - 20 - —Зx1 + х2 — Хз %3D 8 — 2х2 + 5хз -16.

A: Given system of linear equation is x1−5x2+2x3=−20−3x1+x2−x3=8−2x2+5x3=−16..........1 Write the given…

Q: Find the symmetric matrix A associated with the given quadratic form. see the attachment

A: x12-x32+8x1x2-6x2x3

Q: Use matrices to solve the system.

A: Given: 2x-3y+2z=-3-3x+2y+z=14x+y-3z=4

Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: 49. x − y = 6 2x - 3z = 16 2y + z 4

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: Find the matrix of the quadratic form. 5x + 3x² + 2x3-8X1X2 + X2X3 Select one: O A. 5 -4 1/27 -4 30…

A:

Q: = [₁ Construct a 2 x 2 matrix B such that - AB is the zero matrix. Use two different nonzero columns…

A: The given matrix .To construct a matrix such that is the zero matrix.

Q: 5 x1 + 6.x2 – 2 x3 = 1 3 x1 +2x2 – 2 x3 = 3 -3 x1 – 5 x2 + 2 xz = 3 Solve the given system using…

A:

Q: Express this system of equations in matrix form. Qai Qs1 Qai Qa2 a1 – bịP1 + eP2 = -c1 + d¡P1 Qs1 |…

A: First we simplify the equations and then find matrix form.

Q: 1 -2 1 37 00 00 Lo 0 00 X1 x2 x3 ХА [x₁ x2 x3 X4 From this matrix, we get the equation, x₁2x₂ + x3 +…

A:

Q: 45. 2x + 3y = 6 X- 1 2 46. 1 (+2 x + y = -2 x - 2y = 8

A:

Q: 5) Given the function f(z) = 5+ 6z -4z2, find and simplify the difference quotient. f(z +h) – f(x)…

A: we have to find the difference quotient for the following function

Q: State whether or not the matrix is in reduced form. 130 1 0 0 10 0001 Not Reduced Form Reduced Form

A:

Q: Find the matrix of the quadratic form. 2 4x1 + 6x +3x3-10x1x2 + X2X3 Select one: O A. O B. C. O D.…

A:

Q: Use row operations to change the matrix to reduced form. 1 1 1 18 5 6 7 24 1 1 1 18 5 6 7 24

A:

Q: Solve the system by using the inverse of the coefficient matrix. 3x₁ + 9x₂ = 3 2x1 X2 = -5 OA.…

A: The system is