Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. Show all of your work on this problem.

Q: 1 -4 -9 1 3 -8 x = X3+x4 (Type an integer or fraction for each matrix element.)

A: The detailed solution is as follows below:

Q: Rotate the quadratic function 5x^2 + 3y^2 + 2z^2 + 4xz = 14 to its principal axis. ( express as a…

A:

Q: Describe and compare the solution sets of x, +4x₂ - 7x₂ = 0 and x₂ + 4x₂ - 7x₂ = −8₂ X₂ Describe the…

A: Given the equations x1+4x2-7x3=0 and x1+4x2-7x3=-6. We have to describe the given sets and compare…

Q: The 3 × 3 matrix B satisfies the equation B^3 = −B. Show that B cannot have an inverse

A: We proved that, the matrix B cannot have an inverse if it satisfies the equation…

Q: H 2 406 -2 0 -3 2 16 A|-1 1

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Q: Find a 2 by 2  matrix that scales the point (x,y) by 0.5 in the x direction and 3 in the y…

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Q: The graph below shows vectors u, v and w. 5- -5 -4 -3 ν 4 3 2 -2 2 3 -1 W -2 -3 -4 -5 Clear All…

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Q: Use row operations to change the matrix to reduced form. [::] 111 13 45 8 26 111 13 458 26

A: Given augmented matrix is 1111345826. We have to reduce the matrix  1111345826 into row reduced…

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x2 + 2y2 + 2z2-2xy-2xz- 2yz,…

A: We have to find the quadratic form of the equation Q=2x2+2y2+2z2-2xy-2xz-2yz which is a polynomial…

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

A: Here given matrix is

Q: R = (-1,5,4,6,0); K(2,-2,1,0,8) 1) d(R, K ) ; 2) ||R|| ; 3) ||K||

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Q: Rotate the quadratic function 5x^2 + 3y^2 + 2z^2 + 4xz = 14 to its principal axes and express this…

A:

Q: a = 2 ,8 ,2 ,−2 ,−4 ,−3 ,−11, −4 ,9 ,7 and b = 8,−1 . SOLVE Ax =b for x , and write x in…

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Q: Describe all solutions of Ax= 0 in parametric vector form, where A is row equivalent to the given…

A: Given information: The matrix is 130-4260-8. Calculation: Reduce the matrix into row echelon form.…

Q: Write down the 3 x 3 matrix that rotates a 2D point by angle about a point 0 p = (xp, yp).

A: Consider point .To write the  matrix that rotates a  point by angle  about a point .

Q: (3) (4) Consider the linear system whose augmented matrix is -1 3 18 19 35 0 1 4 4 7 4 3 10 23 21 31…

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Q: -2 -3 2 8 2 16 -8 -2 -3 -1 -12 -4 2 3 A = 2 -2 -2 -2 2 1 -1 -1 -1 2477 T a) Find an orthogonal basis…

A: It is very lengthy question so I'm unable to do in limited time so We  shall do the first part only,…

Q: 152-69 0 0 1 7 4 0 0 0 00 0 0 0 0 0 0 0 0 8 1 0

A: We have to find the solution of Ax=0 in parametric form.

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

A: Given matrix, A=3-612-12-4 Find all solution of Ax=0 in parametric vector form.