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A 2 × 2 matrix A has determinant 5. Every entry of its… | StemPy Lab
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A 2 × 2 matrix A has determinant 5. Every entry of its inverse is doubled to make a new matrix. What is the determinant of the new matrix?
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Algebra › Matrices and Determinants
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A
2
×
2
2 \times 2
2
×
2
matrix
A
A
A
has determinant
5
5
5
. Every entry of its inverse is doubled to make a new matrix. What is the determinant of the new matrix?
4
5
\dfrac{4}{5}
5
4
2
5
\dfrac{2}{5}
5
2
20
20
20
10
10
10
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A café sells a cup of tea and a cake for a total of 7 euros. Three cups of tea and two cakes cost 17 euros altogether. Let x be the price of a cup of tea. Solving the system with the inverse of the coefficient matrix, what is x in euros? →
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