题目
题目

MATH1061/1002/1021 (ND) MATH1061 Canvas Quiz 9

单项选择题

Define the matrix \[M = \left [\begin{matrix}1 & -5 & 1\\3 & 0 & x + 6\\2 & 3 & -5\end{matrix}\right ] .\] Which of the following is \(\operatorname {det}{M}\)?

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思路分析
The problem presents the matrix M = [ [1, -5, 1], [3, 0, x + 6], [2, 3, -5] ] and asks for det(M). Since the answer options are missing, I will verify the determinant calculation and show how the given option -13x - 144 arises. We compute det(M) using......Login to view full explanation

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Define the matrix M=[4 1 −4 −2 x−4 −1 0 3 −1]. Which of the following is detM?

\(U = \left[ {\begin{array}{*{20}{c}}1&1&0\\2&3&4\end{array}} \right]\,\,\;\quad V = \left[ {\begin{array}{*{20}{c}}3\\1\end{array}} \right]\,\,\;\quad W = \left[ {\begin{array}{*{20}{c}}{0.6}&{0.5}\\{0.4}&{0.5}\end{array}} \right]\;\,\,\;X = \left[ {\begin{array}{*{20}{c}}3&5\\4&6\end{array}} \right]\quad \,\, \\ Y = \left[ {\begin{array}{*{20}{c}}1&3&2\\0&5&6\\0&0&1\end{array}} \right]\;\quad \) det (W) =

Evaluate \left| \begin{array}{cc} 4 & -2 \\ 3 & 2 \end{array} \right| .

Practice question 5 In this question, you will test your knowledge of calculating determinants Find the determinant, to 2 d.p., of the following matrix: \; \;\left(\begin{array}{cc} 2 & 3\\ 3 & 4 \end{array}\right)

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