Show that if A is a square matrix that satisfies the equation 2 A²-A-I-O, then its inverse is A-¹ = 2 A-I. The equation 24² - A - I = O implies that ---Select--- It follows that ---Select-- v Notice the last equation means that ---Select--- multiplied with A is the identity, which is what we wanted to prove.

Q: Let A = 1 2 7 16 -3 - 17 02-[-12 3 , b₂: b3 -2 -20 and b₁ = 2 a. Find A¹ and use it solve the four…

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Q: Consider the following matrix and vector: 1 0 A= -2 1-4 and x=₂ 0-3 6 Given that Ax-0 and x-1, find…

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Q: -1 2 1 -2 and B = (-3 3 4 -2 2 2 -3 4 5. Find the quotient matrix A/B if A = 3 4 %3D -4 2 3 3/

A: The given matrices are: To find the quotient matrix A/B means, multiply matrix A with the inverse…

Q: Ouestoon = Find the inverse of the matrix with A'= Adj A A= -2

A: The objective is to find inverse of the given matrix using the given formula Given:

Q: 2 =(², 2). (a) Find the inverse of the matrix A = (b) Find the direct product of the matrices A = =…

A: (a) The given matrix is A=21-12 (b) The given matrices are A=1302, B=12-12 (c) The given matrix is…

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 matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: Calculate the area of the parallelogram determined by the points (-1 , -1), (2 , 4), (4 , 3) and (7…

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Q: Multiply [ab] times [_d -]. What is the inverse of each matrix if ad + bc?

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Q: Consider the matrix 2 -1 5] -2 We can obtain 1 in the shaded position if we multiply all the numbers…

A: To determine the number by which multiplying in the row shaded position becomes 1.

Q: Find the matrices of the two similarities taking (0, 0, 1) to (-2, 4, 1) and taking (1, 0, 1) to (0,…

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Q: Assuming that all matrices are n x n and invertible, solve for D. ABCT DBA¹C = ABT. D =…

A: Given that :  are  invertible matrices.Then, are  all  exists.                   It  is  also…

Q: If xER" is a column vector (i.e. an n ×1 matrix), then In-2xx' is always a symmetric matrix. True…

A: Consider the given column matrix as x=x1x2⋮⋮xn-1xn, x∈Rn. Compute the transpose of the matrix x as…

Q: 3 - 3 1 /- 1

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Q: Perform the indicated matrix operations:

A: -4  3  7-6+6-32-4

Q: An A12 [ A21 A22. A22 = [-7 7]. Fill in the block matrix. -9 -5 where A11 A12 9 , A21 = [3], and -4…

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Q: Create two 2 x 2 matrices A and B, to show that (A+ B)- A +B is not always true. Clearly write A, B,…

A: Give an example of 2 × 2 matrix, in which A + B-1 = A-1 + B-1 is wrong.

Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…