Find the matrix [T]s.a for T:P2 M22 where B= {1,x,x?}, B'= a+b b =| and T(a+ bx+ cx) C 2c

Q: Q2. Use a scalar product the check whether the points A (0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2,…

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Q: V. Matrices For the given matrices A=1²2 ² 31 1 D = ²2 31 da M Evaluate if possible: 1. 2C+3E 2.…

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Q: 3. Let 1 B -1 Consider T : R²,2 → R²2 defined by T(A) = AB – BA. Let - 이 [0 [o o] [o o] [1 0] Bị and…

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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: Find the determinant of the matrix: * 3 -8 11 -3 4 -3 2 O 236 O 514 O 359 O -514 2 5

A: Given  32-8115-34-32

Q: By evaluating the determinants, verify the addition rule for the 2 x 2 case: a12 a22 la21 a22 la21…

A: Determinate

Q: 1.) Find the area using matrix and determinants? N Bermuda (452,196) Miami (0,0) W + E Puerto Rico…

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Q: For the matrix H = Answer: 1 2 -1 2 0 51 13 find three different non-zero vectors that are in the…

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Q: Let X be the 3 x 3 matrix such that left-multiplication by X has the same effect as applying the…

A: In this question we have to find the (1, 2) entry of x.

Q: Find the singular values the matrix:

A: Given:A=1201-21Singular values:detATA-λI=0

Q: 2. Let B = {v₁ =, √₂ =, V3 =, V4 =}. Use determinant to determine whether B is linearly independent…

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Q: Find the matrix P that transforms S₁ to S₂ for the following pairs of bases. 1. S₁ = {(2, 5), (1,…

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Q: Find the determinant of the vector A = 2i+ 5j + 6k and B = 8k

A: determinant is nothing but finding the cross product. so, determinant of two vectors A and B = A×B

Q: Show that the equation of the line through points (a1, b1) and (a2, b2)can be expressed as the…

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Q: Use the determinant to decide whether the matrix B given below is singular or nonsingular. B-/14 14…

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Q: Evaluate the ff. Given: A 1 -1 1 -1 2 3 2 0 y 1 1 -2 4 3 4 1 1 1 -1 find: a. Transpose of matrix A…

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Q: Give an example of a non-zero 2 × 2 matrix R which satisfics R² = 0. Suppose that M is an n x n…

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Q: Determine which of the formulas hold for all invertible n x n matrices A and B OA. (A+ B)² = A² + B²…

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Q: Suppose V₁, V₂ € R³ are nonzero column vectors and V3 = 2v₁ - 32. What is the determinant of the…

A: Given: Suppose  are nonzero column vectors and  We have to find what is the determinant of the…

Q: Given the following bases for P2, find P the change of coordinates matrix from B to C. C-B B = {x² –…

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Q: Find the value of v, w, x, y, and z v - 2w + x + 2y – z = -52 6v + 3w – 2x + 4y – 3z = 57 | -v + 2w…

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Q: 2. Find a real 2 × 2 matrix A (other than A =I) such that Aº = I . %3D

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Q: Find the matrix representations for R² and R-1.

A: First we define relation matrix for R:

Q: Determine the rank of matrix A, where: A = 1 0 -1 39 0 0

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Q: 0 -2 2 -1 B = 1 4 -1 3 4

A: We have to solve given problems:

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: 1. For the following quadratic forms (i) write down the symmetric matrix A (so the form is equal to…

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