exam
Maths Puzzle
Numerical Ability
A rectangular solid has a base with length 8 cm and width 3 cm. If the volume of the solid is 216 cm^3, find the height of the solid.
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exam Other Question
A square matrix A is idempotent if A^2 = A.
a) Show that if A is idempotent, then so is I - A.
b) Show that if A is idempotent, then 2A - I is invertible and is its own inverse.
In the movie, "The Wizard of Oz," the Wizard says, "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side."
Is his statement correct?