Decide whether the matrix [[2, -5], [-1, -4]] is invertible.
Correct answer(s):
- invertible
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Decide whether the matrix [[2, -4], [2, 0]] is invertible.
Correct answer(s):
- invertible
Find the determinant of the matrix [[-4, -5], [-2, 3]].
Correct answer(s):
- -22
Decide whether the matrix [[4, 2], [0, 1]] is invertible.
Correct answer(s):
- invertible
Decide whether the matrix [[-4, 0], [-5, 5]] is invertible.
Correct answer(s):
- invertible
Find the determinant of the matrix [[2, 4], [-2, -4]].
Correct answer(s):
- 0
Decide whether the matrix [[2, 3], [-5, 4]] is invertible.
Correct answer(s):
- invertible
Decide whether the matrix [[-1, -2], [0, 3]] is invertible.
Correct answer(s):
- invertible
Find the determinant of the matrix [[-1, -2], [-2, 5]].
Correct answer(s):
- -9
Decide whether the matrix [[-5, 5], [4, -2]] is invertible.
Correct answer(s):
- invertible
Decide whether the matrix [[3, 2], [5, 3]] is invertible.
Correct answer(s):
- invertible
Find the determinant of the matrix [[6, 6], [6, 6]].
Correct answer(s):
- 0
Decide whether the matrix [[-3, -4], [4, -3]] is invertible.
Correct answer(s):
- invertible
Decide whether the matrix [[6, -2], [6, -4]] is invertible.
Correct answer(s):
- invertible
Find the determinant of the matrix [[0, -3], [-3, 5]].
Correct answer(s):
- -9
Decide whether the matrix [[6, 5], [0, 6]] is invertible.
Correct answer(s):
- invertible
Decide whether the matrix [[0, 0], [-5, 4]] is invertible.
Correct answer(s):
- not invertible
Find the determinant of the matrix [[-1, 3], [6, 6]].
Correct answer(s):
- -24
In the expansion of (1x + 1y)^7, find the coefficient of x^1y^6.
Correct answer(s):
- 7
In the expansion of (2x + 1y)^12, find the coefficient of x^11y^1.
Correct answer(s):
- 24576