Matrix operations: check 1
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}14 & 1\\2 & 15\end{matrix}\right],\ v=\left[\begin{matrix}13\\15\end{matrix}\right]\). Matrices act on column vectors.
Find det A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix operations: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}15 & 1\\2 & 16\end{matrix}\right],\ v=\left[\begin{matrix}14\\16\end{matrix}\right]\). Matrices act on column vectors.
Find det A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix operations: check 2
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}15 & 1\\2 & 16\end{matrix}\right],\ v=\left[\begin{matrix}14\\16\end{matrix}\right]\). Matrices act on column vectors.
Find the first coordinate of Av.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix operations: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}16 & 1\\2 & 17\end{matrix}\right],\ v=\left[\begin{matrix}15\\17\end{matrix}\right]\). Matrices act on column vectors.
Find the first coordinate of Av.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix operations: check 3
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 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.
Matrix operations: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}16 & 1 & 0\\0 & 17 & 1\\1 & 0 & 18\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}290\\326\\377\end{matrix}\right]\).
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.
Matrix operations: check 4
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}16 & 1 & 0\\0 & 17 & 1\\1 & 0 & 18\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}290\\326\\377\end{matrix}\right]\).
Find trace(A²).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix operations: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}17 & 1 & 0\\0 & 18 & 1\\1 & 0 & 19\end{matrix}\right]\). For the system question use \(b=\left[\begin{matrix}325\\363\\417\end{matrix}\right]\).
Find trace(A²).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.