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How do I invert a 2x2 square matrix?

A 2x2 square matrix is of the format (a b;c d). First you must check whether the matrix is invertible at all: if ad - bc is 0, the matrix is not invertible. The inverse matrix is (1/(ad-bc))*(d -...

AY
Answered by Anita Y. Maths tutor
4021 Views

Solve the simultaneous equations 2a + b =4 and 5a – 3b = -1

When you solve normal equations like 4x-2=7, there is one equation and one unknown value. This case is no different: in order to solve these equations, you need to create one equation with one unknown. We...

MM
Answered by Molly M. Maths tutor
14631 Views

When would you apply the product rule in differentiation and how do you do this?

The product rule is used to differentiate a function when it is in the form y= u(x)v(x). To use the rule you differentiate u(x) and multiply that by v(x), and then add that to the differential of v(x)...

RS
Answered by Robin S. Maths tutor
4234 Views

An ellipse has the equation (x^2)/4 + (y^2)/9 = 1. Find the equation of the tangent at (-6/5 , 12/5)

y = 9/8 x + 15/4. Explanation in person.

TB
Answered by Thomas B. Maths tutor
4730 Views

Differentiate: y=12x(2x+1)+1/x

This question has two parts, firstly the "12x(2x+1)" this is a product rule format, the 1/x is a simple differentiation format but for ease should be written as "x^(-1)" solution: dy/d...

DS
Answered by Daniel S. Maths tutor
5244 Views

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