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Make sure you know the meaning of the word "trivial".

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The prefix "homo" means "the same / identical".

The prefix "hetero" means "different".

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Example (when there are Infinitely Many solutions)

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Example (when there are Infinitely Many solutions)

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Graphical representations of order 2 system (Review)

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Graphical representations of order 2 system (Review)

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You have learnt these in Compulsory Part

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Make sure you know the conditions for different numbers of solutions.

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MUST familarise this part.

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Part (a) is pretty easy.

The focus is part (b)

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Pay attention to the followings.

1. The second equation has no terms of y.

2. k is a constant.

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Solving the system (order 3) by Inverse Matrix Method

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Solving the system (order 3) by Inverse Matrix Method

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Solving the system (order 2) by Inverse Matrix Method

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Solving the system (order 2) by Inverse Matrix Method

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MUST remember the term "invertible".

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Properties of Determinants (For your reference)

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Properties of Determinants (For your reference)

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|AB| = |A| |B|

The proof is out of the scope.

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使用定積分法求繞平行於坐標軸的直線旋轉所成 (空心) 旋轉體的體積

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使用定積分法求繞平行於坐標軸的直線旋轉所成 (空心) 旋轉體的體積

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使用定積分法求繞坐標軸旋轉所成 (空心) 旋轉體的體積

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使用定積分法求繞坐標軸旋轉所成 (空心) 旋轉體的體積

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使用定積分法求兩條曲線之間的面積

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使用定積分法求兩條曲線之間的面積

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使用定積分法求曲線與y軸之間的面積

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使用定積分法求曲線與y軸之間的面積

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使用定積分法求曲線與x軸之間的面積

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使用定積分法求曲線與x軸之間的面積

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利用向量積求平行四邊形及三角形的面積

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利用向量積求平行四邊形及三角形的面積

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求和兩個已知向量皆正交的向量

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求和兩個已知向量皆正交的向量

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求在R3中兩個向量的向量積

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求在R3中兩個向量的向量積

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求某向量在另一向量上的向量投影及投影

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求某向量在另一向量上的向量投影及投影

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求兩個向量之間的夾角及判斷兩個向量是否正交

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求兩個向量之間的夾角及判斷兩個向量是否正交

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利用向量的純量積的性質進行運算

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利用向量的純量積的性質進行運算

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求在R2和R3中向量的純量積

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求在R2和R3中向量的純量積