Nonfiction 4

MEI FP1 Study Resources Further Pure Matrices 1-4 by Catherine Berry

By Catherine Berry

Show description

Read Online or Download MEI FP1 Study Resources Further Pure Matrices 1-4 PDF

Similar nonfiction_4 books

Parkinson's: The 'At Your Fingertips' Guide 3rd Edition (Class Health)

This booklet might help empower humans dwelling with Parkinson’s ailment. it is going to provide them the knowledge they wish, expanding their wisdom and realizing, and allowing them to hold keep an eye on and make expert offerings approximately their lives. Packed jam-packed with suggestion on handling Parkinson’s affliction, approximately medicines and coverings, advantages and finance, shipping and vacation trips or approximately the place to show to for aid and aid – you can find the entire solutions during this uncomplicated consultant.

The Prince and the Pauper (Webster's Thesaurus Edition)

There are lots of versions of The Prince and the Pauper. This academic variation used to be created for self-improvement or in guidance for complex examinations. the ground of every web page is annotated with a mini-thesaurus of unusual phrases highlighted within the textual content, together with synonyms and antonyms. Designed for college districts, educators, and scholars trying to maximize functionality on standardized exams, Webster’s paperbacks make the most of the truth that classics are often assigned readings.

Extra info for MEI FP1 Study Resources Further Pure Matrices 1-4

Sample text

You may also be asked to use it for three equations in three unknowns, but in that case you would always be given help in finding the inverse matrix. Questions 5 – 7 in Exercise 2G are of this type. There is a PowerPoint presentation which shows examples involving 3 × 3 matrices. You may find this helpful when you are attempting questions 5 – 7 in Exercise 2G. It is very important that you understand the three possible situations with two equations in two unknowns, and their geometrical interpretations.

Calculate the angle of rotation and the scale factor of the enlargement. © MEI, 14/12/06 2/2 Further Pure Mathematics 1 Matrices Section 2: Matrix multiplication Solutions to Exercise ⎛ 0 1 0 −1 ⎞ 1. (i) S = ⎜ ⎟ ⎝0 1 2 1 ⎠ 6 −1 ⎞ ⎛ 4 3 ⎞ ⎛ 0 1 0 −1 ⎞ ⎛ 0 7 = (ii) ⎜ −3 −2 ⎟ ⎜ 0 1 2 1 ⎟ ⎜ 0 −5 −4 1 ⎟ ⎝ ⎠⎝ ⎠ ⎝ ⎠ The image of the square has vertices at (0, 0), (7, -5), (6, -4) and (-1, 1). (iii) ⎛ 3 0 ⎞⎛0 1 1 0⎞ ⎛0 3 3 0 ⎞ 2. ⎜ ⎟⎜ ⎟=⎜ ⎟ ⎝ 0 2 ⎠⎝0 0 1 1 ⎠ ⎝0 0 2 2 ⎠ The transformation is a two-way stretch, with scale factor 3 parallel to the xaxis, and scale factor 2 parallel to the y-axis.

There are some additional notes in the Notes and Examples. 2. For practice in this work, try the interactive questions Find the inverse of a 2 by 2 matrix. 3. Exercise 1E Attempt all the questions. The syllabus only requires you to be able to find the inverse of a 2 × 2 matrix, but notice that Question 6 involves 3 × 3 matrices. Here you are given help in finding the inverses. This type of question does sometimes come up in exams, but you will not be expected to find the inverse of a 3 × 3 matrix without guidance.

Download PDF sample

Rated 4.93 of 5 – based on 34 votes