Let A = [1] 0 a and B = -5 -4 b be two similar matrices. (a) Find a and b. (b) Find an invertible matrix C such that A = CBC-¹.

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A: This problem is related to the vector algebra. The problem is solved in the following image.

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

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Q: How do you know whether a matrix is invertible?

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A: Introduction: The power of a matrix is very significant in matrix calculations. It involves the…

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A: Given :mx+3y-z=m    2x+z=1              -2x-3y+mz=0  detA=-3detB=2

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Q: 2. Let A be an (m x n)-matrix and B an (n xt)-matrix over R. (a) Show that row(AB) Crow (B).…

A: Let A be an m×n matrix and B an n×t matrix. To prove that RAB⊆RB Let a1,a2,...,am are the row vector…

Q: Write equations z + 2y + 3: = a, y – z - b, and 2y + 2: - c, as the matrix equation ()-) A and then:…

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Q: 4, 4, -7 -5 Compute 2(2A - 3B) if matrix A = and matrix B = %3D 3 - 4 2. 2(2A - 3B) = (Simplify your…

A: Multiply A by 2A=433-42A=2433-42A=866-8Multiply B by -3B=-7-52-4-3B=-3-7-52-4-3B=2115-612

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Q: IA - (34) and B- (-5 8 -2 (a) (AB) (b) BTAT 10. f -5 find

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Q: 2 1 2 A = = | 3 -2 4 -3 -5]

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Q: Multiply the matrices:

A: Matrix multiplication: 1-102134-12011Here we are given two matrices such that A=1-10213B=4-12011Here…

Q: Explain why det (BPB¯¹) = det(P) for any matrices P and B. Assume both sides of the equation are…

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Q: 3 - 3 1 /- 1

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Q: (d) Express 2 as a linear combination of Y1 (e) Express 2 as a linear combination of L93 (HB)). (0)…

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Q: what is the x on this matrix; Ax(D+Bx)^-1 = C

A: Using matrix multiplication,