If A= 1 0 0 , 5 1 0, 1 3 1 then find matrix B such that AB =I verify that BA =I
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n×n matrix A is said to be invertible if there exists an n×n matrix B such that
AB=I, and
BA=I,
where I is the n×n identity matrix.
If such a matrix B exists, then it is known to be unique and called the inverse matrix of A, denoted by A−1.
Answered by
82
n×n matrix A is said to be invertible if there exists an n×n matrix B such that
AB=I, and
BA=I,
where I is the n×n identity matrix.
If such a matrix B exists, then it is known to be unique and called the inverse matrix of A, denoted by A−1.
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