1 -2 A -3 6.

Q: Let (x, y, z) E R³ and the transformation T: R³ → R² be given by T(x, y, z) = (2x + 4y, x + 3y + z).

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Q: Determine whether th e given consump-tion matrix is productive.

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Q: Let X be any n x k matrix. Show that X'X is a symmetric matrix.

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Q: Q9. As usual, let In denote the n x n identity matrix. 1 - (a) Find a 2 × 2 matrix such that A² =…

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Q: 1 2 A = 0 1

A: Given that A=1201 First to find the Jordan canonical form of this matrix: The given matrix is a…

Q: Let I be the rdentity of nxn. Please Compute 3. matrix the matrix funct ions CosT I (i²=-1)

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Q: Find ∣A−1∣ for the matrix

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Q: For the​ matrixA=daig(-2,-1,2), put the following values in increasing​ order: det(A),​ rank(A),…

A: Given the matrix A=daig(-2,-1,2) is diagonal matrix Therefore the eigen values of A are -2, -1, 2.

Q: Show that ∣A∣ = ∣AT∣ for the matrix below.

A: Now the transpose is,

Q: matrix A if (A" – 21)* = } Determine the matrix A if %3D

A: Given,             12AT-2I-1=1234To find : The matrix A.

Q: Write f= x + 10x1x2 + x3 as a difference of squares, and f= x? + 10x,x2 + 30x as a sum of squares.…

A: Given f=x12+10x1x2+x22.  Let the associated matrix of f be A=abba is 2×2 symmetric matrix. Then,…

Q: Find an explicit description of NulA by listing vectors that span the null space, where [1 5 -4 -3…

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Q: For each 2 x 2 real matrix A find the canonical form B and an invertible matrix P such that P-1 AP =…

A: A square matrix A of order 2x2 is said to be diagonalizable if there exist an invertiable matrix P…

Q: For each 2 x 2 real matrix A find the canonical form B and an invertible matrix P such that P-1AP =…

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Q: Determine all the n × n− matrix A with the range such that A2 = A.

A: Clearly the zero matrix and identity matrix are the trivial examples of our problems. However there…

Q: Let z be a real number and let A be the matrix 2 I A - (-34). -2 i. Find all values of r such that A…

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Q: For the matrixA=daig(-2,-1,2), put the following values in increasing order: det(A), rank(A),…

A: The given matrix is,  A = diag(-2, -1, 2). We have to put the following quantities in increasing…

Q: find if the vector x is in the range for matrix A

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Q: Let I be the 2 x 2 identity matrix. What is det (-41)?

A: The given data is:  I be the 2×2 identity matrix  To find det-4I Given:  I be the 2×2 I=1001

Q: Find a formula in terms of k for the entries of AK, where A is the Hermitian matrix below 13 4 9. 9.…

A: Here , A=-139-49+2i9-49-2i9-149 The characteristic equation of A is…

Q: The matrix that projects onto the line y 1 is

A: We have to find the matrix that projects onto the line

Q: The matrix that projects onto the line y = 1 2 8 is X 0.6 0.8 0.8 -0.6

A: Let  be projection on the line Then  is  a linear transformation with matrix

Q: Find e^t where A is the matrix A - -4 1 -1 -2 eAt +

A: Given that A=−41−1−2

Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: the acdjainbaf square of As of 2.

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Q: The matrix that reflects about the line y = 1 2 xis

A: The objective is to find a matrix that reflects about the line .

Q: Consider the following matrix. Show that Col(B) and Null(B^T) are orthogonal to each other.

A: Step 1: Step 2: Step 3: Step 4:

Q: 2. Find a matrix that projects onto the line / 2x - 5y = 0 and find the projection of 6= (1, -2)…

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Q: : {1+x,1 − x²,1+x+ x² } and B' = {2 − x, 1 − x+x²,3+2x}. 3.) Find the transition matrix from B to…

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