30 14 Let A = -70 -33] Find a matrix P, a diagonal matrix D and P-1 such that A = PDP-¹. P = 3 D P-1 || =

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A: Solution: a) P=0.75t+75  …(1)P=0.5t+3 ⋯(2) to solve these equation we equate P in both equation,…

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Q: Suppose the only solution of AX-B is the zero matrix (A is nxn and B is nx1). Then the RREF of A | B…

A: Given the only solution of AX=B is the zero matrix ( A is nxn and B is nx1 ) . The RREF of A | B is…

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Q: Iterate the estimate given U(x) log²x + // (A(st) - A(s)A(1)) U () dsdt = 0(x log.x) as x → 00,…

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Here we can use the following formula  If z=fx,y, thendz=fx dx+fy dyδzδy=fx δxδy+fy

Q: Suppose the only solution of AX-B is the zero matrix (A is nxn and B is nx1). Then the RREF of A| B…

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Q: A 2abc B) abc -a b с Evaluate-2a +4x 2b-4y 2c +42 x -Y 2

A: To find the determinant proceed as follows…