Use the inverse A-1 1 1 to identify the solution of the linear system 1 3 382 = %3D 2 3 2 1

Q: The matrix for an onto linear transformation from \R^4 to \R^3.  Find an example

A: Note that: The matrix of the linear transformation from Rn to Rm is of size m × n.

Q: x= 9 5 15 -5 -10 -15 -20

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Q: rewrite ax^2+by^2+cz^2+dxy+exz+fyz+gx+hy+iz+j=0 in  standard form by matrix

A: The objective of the question is to rewrite the given quadratic equation in three variables in…

Q: (b) B={(-1,3), (2, -1)} and 8' = {(0, 10), (5,0)} (c) B={(2,5), (-1, -3)} and 3' = {e1, e2} (d)…

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Q: The matrix for a one-to-one linear transformation from \R^4 to \R^3

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Q: for any matrix A, inverse of matrix A^(-1) a) |A| adj A b) adj A⁄ |A| c) 1/(adjA⁄|A| ) d) none of…

A: The formula to compute the inverse of any matrix A: A-1=1|A|(adj A)  such that A·A-1=I, where I =…

Q: If any three square matrices have the same size as A ,B,C AB=I and CA=I prove that A=C=A^-1

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Q: For matrix A and a scalar k, (kA)T is equal to: k(A^T) k(A) (k^2) x (A) (k^2) x (A^T)

A: We will solve the matrix operation.

Q: 2. Describe the geometry of the linear transformation represented by each matrix. Explain. 3 0 a. ^=…

A: Follow the steps.

Q: et A be m x n and let  be in R^n. If A has a row of zeros, show that Ax has a zero entry

A: We have to solve given problem:

Q: SV4 – x²dx

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Q: describe xy - trace, xz - trace, yz - trace. draw each trace a) z^2 - 4x^2 = 9 - 4y^2 b) z^2 -…

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Q: Let A, B, C be invertible n x n matrices. SOLVE for A in: A^-1B^-1 = C^-1

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Q: 1 2 3 1[1 1 07 M = 20 0 1 3|1 0 0

A: Write the relation M as a set of ordered pairs. If x,y is an ordered pair in M , then (y,x) is and…

Q: Which of the following subsets of the sets in the set of real square matrices of size 2 x 2 is…

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Q: Find a polynomial P(z) = a + a₂z+ª₂x² of degree 2 which gives the best least squares fit for the…

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Q: 1. Use row operations to find the inverse of '1 1 2 3 6 5 3 3 7

A: Solve for the inverse of the matrix

Q: Use the Gaussian algorithm to determine the inverse matrix A^-1.   A = 1  2  1 0  1   3 2  4   1

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Q: Let -5 ^-[33] ²-[+ ₂] = [42], A = E = =-[B] F-[-2] -1 Compute the indicated matrix. (If this is not…

A: We are given three matrices A,E and F. We have to find E(AF)=?

Q: If Z=1/√2+i/√2 then the value of conjugate of Z^5= ؟

A: We have z=12+i2 Now, a complex number z=a+ib can be written in polar form as: z=a+ib=rcosθ+i sinθ…

Q: 10. Using = x+y as one of the transformation variable, obtain the canonical form of - 2 .2 дхду ду?…

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Q: ^= Let A 8 -1 1-2 1 5, let b: ↓ tb=| [3] the set of all linear combinations of the columns of A. and…

A: A=206-1851-21, b=1033 W be the set of all linear combinations of the columns of A. i.e. W=span2-11,…

Q: for part b), how can you multiply the E1^-1 and A as they are not the same size matrix? is that…

A: Given that encryption matrix A is of size 2 x 4.   Now, from rule of multiplication of matrices in…

Q: IF a 4*5 Matrix A has rank 2 , find dim(Null A), dim (Row A) and Rank A^T

A: Using Rank Nullity Thereom,

Q: Let A = [0 1 0 0 ], A^(-1) is equal to: * Does not exist Identity matrix Null matrix

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Q: if the chractrestic polynomial of a matrix A is p(^) = (^ +1)(^ - 2)2 then det(-A) +tr (A) = 1 7 -2…

A: As we have 3 roots of characteristics polynomial.

Q: Please explain how the chracteristic polynomial = -(lambda - 3)(lambda - 3)(lambda - 2) for the…

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Q: 1 (2¹) 4 4

A: Given matrix as, A=-2144

Q: a) Compute the adjugate of the given matrix A and then compute the inverse of the matrix 1 0 2 A = 4…

A: We have to find the adjugate of the matrix A. We know that the adjugate is the synonym of the…

Q: matrix A and matrix B are defined in image calculate 3A-3B then find 6A^T

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Q: b) A civil engineering firm plans to sign a contract with a customer. The contract calls for the…

A: Let the cost of building X is x the cost of building Y is y. then as per given information the…

Q: A,B square matrices A^3=B^3, A^2B=B^2A, A^2+B^2 invertible Show A=B

A: see below the answer