Find Inverse of Diagonal Matrix (3x3) (Level 1)

This math topic focuses on finding the inverses of diagonal 3x3 matrices. Each question presents a diagonal matrix, consisting solely of diagonal entries without any off-diagonal elements being non-zero. Students are asked to compute or select the correct inverse matrix from multiple choices provided. The skills practiced include understanding the properties of diagonal matrices and applying the formula for the inverse of diagonal matrices, which involves taking the reciprocal of each non-zero diagonal entry.

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Find Inverse of Diagonal Matrix (3x3)

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Find the inverse of this matrix if it has one

[300010003]\left[ {\begin{array} {ccc} 3 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 3 \end{array} } \right]

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