exam Maths Puzzle Numerical Ability

Show that if {v1, v2, v3} is a linearly dependent set of vectors in a vector space V, and v4 is any vector in V, then {v1, v2, v3, v4} is also linearly dependent.

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exam Other Question

x^2+9x+14=0 A garden hose can fill a swimming pool in 3 days, and a larger hose can fill the pool in 2 days. How long will it take to fill the pool if both hoses are used?