Question: include the MATLAB output and commands used with each problem Generate two random 10 Ã— 10 matrices...

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Question:
include the MATLAB output and commands used with eachproblem
Generate two random 10 Ã— 10 matrices with numbers between -10and 10. This can be done with
>> A = randi([-10,10],10,10)
>> B = randi([-10,10],10,10)
1.Â Â Â Â Â with MATLAB to determi whetherA and B are invertible matrices.
2.Â Â Â Â Â If A isinvertible, use MATLAB to show thatA^-1A= I
3.Â Â Â Â Â Determi whether(AB)^-1 =B^-1A^-1
4.Â Â Â Â Â Determin whether(A^T)^-1 =(A^-1)^T
5.Â Â Â Â Â Determe whether(A³)^-1 = (A^-1)³
6.Â Â Â Â Â Determi whether(A + B)(A -B) = A² -B²

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Solution given question is Explaination2 The inverse of a matrix A is denoted by A1such that the following relationship holds AA1 A1A 1 The inverse of a matrix does not always exist If the determinant of the matrix is zero then the inverse does not exist and the matrix is singular Inverse of a matrix in MATLAB is See Answer

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