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(a) Determine the matrix that first rotates a two-dimensional vector 180° anticlockwise, and then per- forms a horizontal compression of the resulting vector by a factor 1/2 (leaving the vertical component unchanged).
(b) Determine the matrix that first performs a horizontal compression by a factor 1/2 (leaving the vertical component unchanged) for a two-dimensional vector, and then rotate the resulting vector 180° anticlockwise.
(c) Are the two matrices in (a) and (b) the same? Explain why, or why not.
Lines EF and GH are graphed on this coordinate plane. Which point is the intersection of lines EF and GH?
develop any two linear equation which are reducible into linear form from our daily life by cross multiplication
2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?)+1 = 0 Ans: (Sin 2 ?)3 + (Cos 2 ?)3-3 (Sin 4 ?+(Cos 4 ?)+1=0 Consider (Sin 2 ?)3 +(Cos 2 ?)3 ⇒(Sin 2 ?+Cos 2 ?)3-3 Sin 2 ?Co
What do we understand by "being able to count"? Think about the following situation before you answer. Example 1: Three year-old Mini could recite numbers from I to 20 in the co
i need help in writing about a magic car?..
The distribution of sample means is not always a normal distribution. Under what circumstances is the distribution of sample means not normal?
Devise one activity each to help the child understand 'as many as' and 'one-to-one correspondence'. Try them out on a child/children in your neighbourhood, and record your observat
what is quantity ?
A researcher is investigating the effectiveness of a new medication for lowering blood pressure for individuals with systolic pressure greater than 140. For this population, systol
With your current loan, explain how much additional money you would need to add to your monthly payment to pay off your loan in 20 years instead of 25. Decide whether or not it wou
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