(a) Find x, y, z and B, where 10 x 3 -3 y 4 4 A = 1 ; A² = 1 ; A² = 1 ; ; c(A+1)+3BT = 2A and I : unit matrix ca-b b

Q: a) Find the matrix of the quadratic form. Assume x is in R3 5x3-x3 +7x3-5x1x2 -3x1x3

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Q: Find a 2 by 2 matrix that reflects the point (x,y) abot the x axis?

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Q: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

A: The given matrices, A=-2103 and B=2-31-2 We have to find the matrix X, that satisfies 2A+X=3B

Q: B = -2 {[1] ·[5]} and = {[] [4])} C 3 are bases for R². Complete the augmented matrix used to find…

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Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

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Q: 3 Compute x using the vectors w = -4 and x = 2 - 5 2 x = (Simplify your answer. Type an integer or…

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Q: Matrix  A = a11 a12 a21 a22 a31 a32 B =  b1 b2 C = c1 c2 c3     Find C*A. Find C*B.

A: The product of matrices is given as follows

Q: Apply the column mix operation to the matrix S Enter your answer as a 2 x 2 matrix with hexadecimal…

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Q: 1. dy/dt = ay+by2, a>0, b>0, -∞<yo <∞ 2 doelde C

A: 1) for the given autonomous system dydt=ay+by2, a,b&gt;0 and -∞&lt;y0&lt;∞ To sketch the graph of…

Q: Suppose that  |A| + |B| = |A + B| , find a 2x2 matrix for A and B

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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: 12. Find A + B, where -1 3 5 2, B = 0 -2 -3 0 5 2 -3 2 -3 a) A =-1 9 -3 b) A = B = -4 -3 5 -2 -1

A: a) Given A = 104-1220-2-3B = -13522-32-30 Then A+B = 104-1220-2-3+-13522-32-30=…

Q: Determine the coefficient matrix A, the right-hand side vector b, and the augmented matrix, A of the…

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Q: Write 2x + 3y + z + 5t = 8 as a matrix A (how many rows?) multiplying the column vector x = (x, y,…

A: Given: Equation is Objective:Represent the equation in matrix form, , where  is the coefficient…

Q: Q2) Solve the following linear system of equations using inverse matrix 3x + y = -1: 2y- 4z = 0 :x+…

A: The system of given linear equations is as follows 3x+y=-12y-4z=0x+2z=1 Rewrite as…

Q: Find the row reduced echelon  matrix R and invertible matrix P such : R = PA             -1     1…

A: The given matrix is: A=-11-10-34114-6-4-2310-14. To find row reduced echelon form of given matrix,…

Q: Here A represents a 2 x 2 matrix

A: Given : A is a 2×2 matrix and A has the repeated eigen value λ with two linearly independent eigen…

Q: Find values for the the entries in the first matrix to satisfy this equation: 0 0 39 9 +] 0 02 7 24…

A: I have explained everything with in the solution. Please go through that

Q: Solve A x A T matrix: A = -2  1  -1 3   -3   2

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Q: find A³. Write A³ as input your answer below: all = 912 = Given the matrix 921 = 922 = ^=[83]. A A³…

A: The given matrix .The objective is to find the matrix .

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z= 1 y + 4z = 0 5x + 6y = 1

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Q: Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the…

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Q: a) Consider the matrices A and B: 4 -3 A =-2 7 1 8 6. -5 B = -3 -2 Which element is in row 2, column…

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Q: Given 2. A and B = ( 4 Find the matrix represented by: (iii) 3(A – 4B) (iv) B+ 3AT

A: The given matrices are A=254-2  and B=-1724. (iii) Evaluate 3(A-4B) as follows.…

Q: Fill in each matrix for diagonalization of the matrix A = A = PDP-1 3 Ex: 5 30 1 4 -6 19 1 1 IG

A: We have to fill in each matrix for diagonalisable of the matrix.

Q: Write the augmented matrix form: a + 2b +c + d = 1 a - af – b + c - cf + 3d – df + ef2 +ef -2e – f²…

A: Given: The system of equations, a+2b+c+d=1 a-af-b+c-cf+3d-df+ef2+ef-2e-f2=-1 2a+4b+3c+3d-f=3…

Q: Perform the matrix operation: F=(A+C)-B. What is F,? 8 7 A = -4 3 6 -4) B = 2 6 -11 -7 C= 5 6 а. b.…

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Q: Q3:-a) Find the values of (x, y) for the following matrix equation: 3 [х — 2у 0ј 6. -2 -2 x+ y]

A: Given that we need to find the values of x and y for which the following matrix equation satisfied.…

Q: determine the diagonalizing matrix: X1 = λαι X2 + X3 = λχη – X2 + X3 = λx3

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