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In mark each statement True or False. Justify each answer.
a. A homogeneous equation is always consistent.
b. The equation Ax = 0 gives an explicit description of its solution set.
c. The homogeneous equation Ax = 0 has the trivial solution if and only if the equation has at least one free variable.
d. The equation x = p + tv describes a line through v parallel to p.
e. The solution set of Ax = b is the set of all vectors of the form w = p + vh, where vh is any solution of the equation Ax =
What square root property is essential to solve any radical equation involving square roots? Use an example.
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Find whether the given information results in one triangle.
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Let (Xn) be a submartingale such that supn Xn
The perimeter of a swimming pool is 91m. The width is 5m more than half the length of the pool. Find the length and width of the pool.
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