4. Compute (A-1) and (A-I)°, where A is a square matrix and I is the identity matrix

Q: Consider a matrix A = a C where a, b, c are real numbers such that abc = 1 and a² + b² + c? = 3. (a)…

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Q: -2 1 3 2 0 8 The matrix A = -4 1 12 2 0 –10 -4 2 7 can be written as A = LU, where L is a Lower…

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Q: Determine the matrices C = A + B and D = A - B if A = = 3 8 8 -7 -4 -1 -4 5 B = 9 -27 6 3 2-3 -4 5…

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Q: Suppose that  |A| + |B| = |A + B| , find a 2x2 matrix for A and B

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Q: 3. Diagonalize the matrix: 1 1 0 1 0 1 1 1 1

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Q: R={(2,1),(3,1),(3,2)} as a zero to one matrix

A: Given R = R=2,1,3,13,2  we have to write it as a zero-one matrix  A= 0001001103×3

Q: A=(41] [4] ( )= (-1) [₂] + (3) [₂] 2

A: Matrix multiplication is possible if we have two matrices A and B such that, order of A =m×n;order…

Q: Find a 2 x 2 matrix B so that B2 = A, where

A: Given matrix A=-7-16817 To find matrix B such that B2=A.

Q: a- B-2 3] and Given matrices Find CAB 3

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Q: 5. Determine the value of W, X, Y and Z for the given matrix and its inverse -1 -4 B = X |-5 Y 6 7 Z…

A: Please see the explanation below

Q: Consider the matrix B given by where 2 3 23-3 3 -4 2 -1 0 0 det (A₁) + 4 - 3 5 -5 -4 . Then det (B)…

A: We find the determinant of a matrix by expanding with respect to any row or column. By taking sum of…

Q: Find the matrix B such that 2AT+3B=0.

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Q: 9. A = -2 2

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Q: 1 1 1] A= 2 4 -3 - 5|] b. Find the inverse of the matrix

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Q: 2. Diagonalize the matrix: 1 0 -2 1 1 1 -1

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Q: Find matrix D such that D=2A+B-C

A: Given

Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: Let A be a 3x3 matrix where A2=I3, then det(A) is 1 or -1. Select one: 1-True 2-False

A: To find- Let A be a 3×3 matrix where A2 = I3, then detA is 1 or -1. True False

Q: 3. Determine the last column so that the resulting matrix is an orthogonal matrix: 1/√2 1/√2 0 1/√6…

A: The given matrix is .To determine the elements of the last column so that the matrix is orthogonal.