Algebra
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Q. Calculate the determinant of the matrix \( B = \begin{pmatrix} 2 & 3 \\ 5 & 7 \end{pmatrix} \).
Q. Calculate the determinant of the matrix \( G = \begin{pmatrix} 2 & 1 & 3 \\ 1 & 0 & 1 \\ 3 & 1 & 2 \end{pmatrix} \).
Q. Calculate the determinant of the matrix \( \begin{pmatrix} 2 & 3 \\ 1 & 4 \end{pmatrix} \).
Q. Calculate the determinant of the matrix \( \begin{pmatrix} 2 & 3 \\ 5 & 7 \end{pmatrix} \).
Q. Calculate the determinant of the matrix: | 1 1 1 | | 2 2 2 | | 3 3 3 |
Q. Calculate the determinant \( \begin{vmatrix} 1 & 2 & 1 \\ 2 & 3 & 1 \\ 3 & 4 & 1 \end{vmatrix} \).
Q. Calculate the determinant \( \begin{vmatrix} 2 & 3 \\ 5 & 7 \end{vmatrix} \)
Q. Calculate the determinant \( \begin{vmatrix} a & b \\ c & d \end{vmatrix} \)
Q. Calculate the determinant | 1 0 0 | | 0 1 0 | | 0 0 1 |.
Q. Calculate the determinant | 2 3 | | 4 5 | + | 1 1 | | 1 1 |.
Q. Calculate the determinant: | 2 3 1 | | 1 0 2 | | 0 1 3 |.
Q. Calculate the determinant: | 2 3 1 | | 1 0 4 | | 0 5 2 |.
Q. Determine the coefficient of x^2 in the expansion of (3x - 4)^4.
Q. Determine the coefficient of x^2 in the expansion of (3x - 4)^6.
Q. Determine the coefficient of x^2 in the expansion of (x - 2)^6.
Q. Determine the solution for the inequality -2x + 6 > 0.
Q. Determine the solution for the inequality -2x + 6 ≥ 0.
Q. Determine the solution for the inequality -3x + 1 ≤ 4.
Q. Determine the solution for the inequality -3x + 4 ≤ 1.
Q. Determine the solution for the inequality 2x + 3 ≤ 7.
Q. Determine the solution for the inequality 6 - x > 2.
Q. Determine the solution for the inequality 6 - x ≤ 3.
Q. Determine the solution for the inequality 7 - 3x < 1.
Q. Determine the solution for the inequality 7x - 2 ≤ 5x + 6.
Q. Determine the solution set for the inequality 2(x - 1) ≥ 3.
Q. Determine the solution set for the inequality 2x + 3 > 5.
Q. Determine the solution set for the inequality 2x + 3 > 7.
Q. Determine the solution set for the inequality 2x + 3 ≤ 7.
Q. Determine the solution set for the inequality 3x - 4 < 2x + 5.
Q. Determine the solution set for the inequality 4x - 1 > 3.