1. Given matrices (A), [B][C], [D], and [E] compute the following. You must show all the...
We will consider the vector space P2 with the bases B = ⟨x 2 + 2, 1 + x, 1 + 3x − 2x 2 ⟩ and D = ⟨1 + 2x + 2x 2 , 1 + x + x 2 , 1 + x − x 2 ⟩ As well as the vector space R 4 with the basis E = ⟨ 1 0 1 2 , 0 1 1 1 ...
2,3, 6, 7 1. Without matrices, solve the following system using the Gaussian elimination method + 1 + HP 6x - Sy- -2 2. Consider the following linear system of equation 3x 2 Sy- (a) Write the augmented matrix for this linear system (b) Use row operations to transform the augmented matrix into row.echelon form (label all steps) (c) Use back substitution to solve the linear system. (find x and y) x + 2y 2x = 5 3. Consider the...
XTAX=1. determine their canon- 1. Write the following quadratic forms as V(x) ical forms, find the modal matrices (i.e. the matrices of unit eigenvectors) of the corresponding transformations and write down explicite expressions for canonical cOordinates (y1, 2, y3) in terms of the original coordinates (x1, X2, X3). State what surfaces these quadratic forms correspond to = > (a) x + 4x1r2 + 4a13-8a2x3 = 1; (b) a3a3a^ + 4xj2 +4x131223 1; (c) 4a7 2a2 2axjx2 2x13+ 6x23 = 1....
In MATLAB: Q1. Solve the following system of linear equations: -4x + 3y +z = -18 5x + 12y – 2z = 30 2x - 5y + 6z = 9 Q2. Given the following matrix: 1 2 A= 1-3 5 61 10 -2 3 -9 1 Define A in MATLAB and perform the following operations. Show the result and explain it. a. A*A b. A*A C. A./A d det(A) e. inv(A) Q3. Define A, B, and C in MATLAB and...
Need ALL PARTS (a-d) answered COMPLETELY and IMMEDIATELY!!! VERY URGENT!! SHOW WORK!!! 5. Given matrices ſo 0 t 01 0 0 201 m 0 0 0 3 0 0 0 A= 0 0 0 h and B=1 0 0 0 31 Lo a 002 o 13 0 0 1 where a, h, m, t are any real numbers, (a) (2 points) find det(A) (b) (2 points) find det(B) (c) (2 points) find det(AB) (d) (2 points) find det (2ATB-1). (Show...
Need help!! 1) Let A, B, C, and D be the matrices defined below. Compute the matrix expressions when they are defined; if an expression is undefined, explain why. [2 0-1] [7 -5 A= .B -5 -4 1 C- ,D= (-5 3] [I -3 a) AB b) CD c) DB d) 3C-D e) A+ 2B 2) Let A and B be the matrices defined below. 4 -2 3) A=-3 0, B= 3 5 a) Compute AB using the definition of...
Letter E please show steps and solution b7, c 6. -4 32 II. Linear equations and systems (b) 5y - 3(y +2) y+4 c) 3(2t - 4)-t+ 2x +7 2-3 e) 3756 4 (b) F= C+32 for C (c) 2x-Sy ng linear equations: (b) z+4y-8 ibed by the following information: (d) 3
3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y= 5 b. 2x-5y= 4 4x+3y= 5 C. x+y+z= 4 2x-y-z= 2 -x+2y+3z= 5 4. Solve the following Systems of linear equations using Cramer's Rule a. 6x-3y=-3 8x-4y= -4 b. 2x-5y= -4 4x+3y= 5 c. 2x-3y+z= 5 X+2y+z= -3 x-3y+2z= 1
linear algebra 1. Suppose that A, B, C, D, E are matrices of the following sizes: А B с D E (4 x 5) (4 x 4) (5 x 2) (4 x 2) (5 x 4) Determine whether the expression is defined and, if so, the size of the resulting matrix. (a) EAC (b) AC + D (c) E(5B + A) Bi and S(T) = Dr. Is the (d) Suppose T, S are matrix transformations defined by T(T) composition To...
Please answer the parts below, thank you. A) B) C) (1 point) If A and B are 6 x 9 matrices, and C is a 8 x 6 matrix, which of the following are defined? A. B - A B. CB + 2A C. B-C D. CB E. AB (1 point) Parameterize the solutions to the following linear equation, and write your answer in vector form. -8x + 4y - 7z = -4 2 Solution: y + S +t. 2...