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How do you find the inverse for matrix in math? - Answers
To find the inverse of a matrix, you basically append (not add) the identity to the matrix, then solve it so that the identity is on the left side. The contents of the right side of your matrix will be the inverse. For instance:[A] = [ [1 0] [2 1] ] (original matrix)[A] = [ [1 0] [2 1] | [1 0] [0 1] ] (appending the identity of a 2x2 matrix)(the bolded line is an imaginary divider)Next, you try to solve it so that the identity is shifted to the left side. The matrix's inverse will be the contents of the right.[A] = [ [1 0] [0 1] | [1 0] [2 -1] ][A]-1 = [ [1 0] [2 -1] ]
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How do you find the inverse for matrix in math? - Answers
To find the inverse of a matrix, you basically append (not add) the identity to the matrix, then solve it so that the identity is on the left side. The contents of the right side of your matrix will be the inverse. For instance:[A] = [ [1 0] [2 1] ] (original matrix)[A] = [ [1 0] [2 1] | [1 0] [0 1] ] (appending the identity of a 2x2 matrix)(the bolded line is an imaginary divider)Next, you try to solve it so that the identity is shifted to the left side. The matrix's inverse will be the contents of the right.[A] = [ [1 0] [0 1] | [1 0] [2 -1] ][A]-1 = [ [1 0] [2 -1] ]
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How do you find the inverse for matrix in math? - Answers
To find the inverse of a matrix, you basically append (not add) the identity to the matrix, then solve it so that the identity is on the left side. The contents of the right side of your matrix will be the inverse. For instance:[A] = [ [1 0] [2 1] ] (original matrix)[A] = [ [1 0] [2 1] | [1 0] [0 1] ] (appending the identity of a 2x2 matrix)(the bolded line is an imaginary divider)Next, you try to solve it so that the identity is shifted to the left side. The matrix's inverse will be the contents of the right.[A] = [ [1 0] [0 1] | [1 0] [2 -1] ][A]-1 = [ [1 0] [2 -1] ]
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