# Tutor profile: Terence T.

## Questions

### Subject: Linear Algebra

If every minor of order ‘r’ of a matrix is zero then ρ (A) =?

By the definition of ‘Rank of a matrix’ A matrix is said to have rank ‘r’ if (i) At least one minor of order r is non-zero (ii) All minors of order r+1 is zero ∴ The given matrix (ii) condition seems to be applied Hence, rank of matrix ρ (A) = < r.

### Subject: Trigonometry

A surveyor measures the distance, across a straight river, by the following method. Starting directly across from a tree on the opposite bank, she walks 90m along the riverbank, to establish a baseline. Then she sights across to the tree. The angle, from her baseline to the tree, is 50.0 degrees. How wide is the river?

The base of the triangle (x) = 90 \ m Width of the river = y Now, from the trigonometry tan θ = y x tan 50 = y 90 y = 107.25 m

### Subject: Calculus

What is the broadest definition of calculus?

Calculus involves many other components when defining it, but in general it is the study of change. The study of operations and applications is algebra. The study of shape is geometry. The study of collections of data is statistics.

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