Determinants: check 1
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}11 & 1 & 0\\0 & 12 & 1\\1 & 0 & 13\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}145\\171\\207\end{matrix}\right]\).
Find det A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Determinants: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}12 & 1 & 0\\0 & 13 & 1\\1 & 0 & 14\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}170\\198\\237\end{matrix}\right]\).
Find det A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Determinants: check 2
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}12 & 1 & 0\\0 & 13 & 1\\1 & 0 & 14\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}170\\198\\237\end{matrix}\right]\).
Find the (1,1) entry of A inverse.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Determinants: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}13 & 1 & 0\\0 & 14 & 1\\1 & 0 & 15\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}197\\227\\269\end{matrix}\right]\).
Find the (1,1) entry of A inverse.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Determinants: check 3
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}13 & 1 & 0\\0 & 14 & 1\\1 & 0 & 15\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}197\\227\\269\end{matrix}\right]\).
Find the first coordinate of the solution of Av=b.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Determinants: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}14 & 1 & 0\\0 & 15 & 1\\1 & 0 & 16\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}226\\258\\303\end{matrix}\right]\).
Find the first coordinate of the solution of Av=b.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Determinants: check 4
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}14 & 1 & 0\\0 & 15 & 1\\1 & 0 & 16\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}226\\258\\303\end{matrix}\right]\).
Find trace(A²).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Determinants: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}15 & 1 & 0\\0 & 16 & 1\\1 & 0 & 17\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}257\\291\\339\end{matrix}\right]\).
Find trace(A²).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.