Let T: R² R² be defined by T 3 -{[]).H]} and C Given Pc [T](PB (u)) = ([^]) Ex: 5 -x₁ + 2x₂ [-3x1 + 2x₂ / -4 1 - [223] , use the Fundamental Theorem of Matrix Representations to find [T] (PB(u)). Let u = [4]-{]-G]} B

Q: find the inverse matrix

A: As per the question, we have to form a 3×3 matrix, given the unique symmetrical elements of YBUS(s)…

Q: Find f(B)

A:

Q: Create a world transform matrix that translates by 3, 5, 7 and rotates 80° about the x-axis.

A: Detailed explanation mentioned below

Q: 2. (a) Express -2+t+t +r' as a linear combination of 1-t, 1+r, and 1+1- or show that it cannot be…

A: We have to write in the linear combination.

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: Consider the matrix in the image (i) Determine the inverse matrix B^−1 , of B. (ii) Using the…

A:

Q: 3. Find all matrices which satisfy the matrix equation (::)(; })-(; :)(::)

A: Here,

Q: (1 point) The matrices - [8]. [J]. -[i]·.^ - [i]· A A4 = A₁ = A3 = A₂ = form a basis for the linear…

A:

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

A:

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…

A:

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

A:

Q: Use matrix multiplication to find the contraction of (a, b) with factor k = 1/α, where α > 1.

A:

Q: Let A = (2 1, 2 3) . Find a 2 x2 matrix X so that X^2 = A

A: Matrix A =[2 1, 2 3]  We have to find 2*2 matrix X such that X2=A

Q: SOLVE THE SYSTEM usiNG THE MATRIX じメ EXPONENTIAL (USING JORDAJ FORM) (2) -4 x(0)- 3. 나 -7

A:

Q: Write down the adjoint of each of the matrices below, and identify which ones are Hermitian: 10-i 1…

A:

Q: 36. (a) What matrix transforms (1,0) into (2,5) and transforms (0, 1) to (1,3)? (b) What matrix…

A: 36. (a) To Find: The matrix that transforms (1, 0) into (2, 5) and transforms (0, 1) into (1, 3).…

Q: Suppose A, B are 3x3 matrices, det A = 6, and det B = -5. Find the following determinants. (a): det…

A:

Q: 7. Let A = (; ) (a) Express A- as a product of elementary matrices. (b) Express A as a product of…

A:

Q: A(t) is a 2 × 2 matrix of differentiable functions and X(t) is a 2 × 1 column matrix of…

A: Let The matrices A(t) and X(t) be A(t)=A11(t)A12(t)A21(t)A22(t)X(t)=x1(t)x2(t) The product rule of…

Q: If the matrices A and B are conformable for sum A+B the product AB then prove that (A+B)" = A" +B"…

A: Prove that. (a).A+BT=AT+BT(b).ABT=BTAT