End-of-chapter review exercise 4: check 1
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 det A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 4: review variant 1
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 det A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 4: check 2
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 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.
End-of-chapter review exercise 4: review variant 2
Difficulty: ★★☆Info
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 (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.
End-of-chapter review exercise 4: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(A=\left[\begin{matrix}15 & 16\\0 & 18\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the (1,1) entry of AB.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 4: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(A=\left[\begin{matrix}16 & 17\\0 & 19\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the (1,1) entry of AB.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 4: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(A=\left[\begin{matrix}16 & 17\\0 & 19\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the (2,1) entry of AB.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 4: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(A=\left[\begin{matrix}17 & 18\\0 & 20\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the (2,1) entry of AB.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.