The inverse matrix: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(A=\left[\begin{matrix}11 & 1\\2 & 12\end{matrix}\right],\ v=\left[\begin{matrix}10\\12\end{matrix}\right]\). 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.
The inverse matrix: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(A=\left[\begin{matrix}12 & 1\\2 & 13\end{matrix}\right],\ v=\left[\begin{matrix}11\\13\end{matrix}\right]\). 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.
The inverse matrix: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(A=\left[\begin{matrix}12 & 1\\2 & 13\end{matrix}\right],\ v=\left[\begin{matrix}11\\13\end{matrix}\right]\). 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.
The inverse matrix: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(A=\left[\begin{matrix}13 & 1\\2 & 14\end{matrix}\right],\ v=\left[\begin{matrix}12\\14\end{matrix}\right]\). 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.
The inverse matrix: check 3
Difficulty: ★★☆Info
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 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.
The inverse matrix: review variant 3
Difficulty: ★★☆Info
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.
The inverse matrix: check 4
Difficulty: ★★☆Info
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 trace(\(\displaystyle A^{2}\)).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The inverse matrix: review variant 4
Difficulty: ★★☆Info
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(\(\displaystyle A^{2}\)).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.