• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Poem Commentary - Mid term break

Extracts from this document...

Introduction

MATRIX BINOMIALS MATHEMATICS SL TYPE I Natalie Sullivan 000650-042 St. Dominic's International School May 2009 A matrix function such as and can be used to figure out expressions. By calculating and the values of X and Y can be solved for. . By following rules of multiplying matrices, this can be shown as =. Using we can conclude that = or. One can generalize a statement of a pattern that develops as the matrix goes on. The expression is as follows, =. The number 2 in the matrix comes from when the product of is solved for. The value of is twice the value of . The variable n represents what power the matrix is to, such as n = 2, 3, 4. We can now solve for the rest of the values of. = Further values of can be proven by the expression, = can be proven with the same expression by slightly changed. Since and are negative, we much change the expression as to meet the demands of and . ...read more.

Middle

Let and where and are constants. Let us use different values of and to calculate the values of . for Solving the first example, we can create an expression that should work. The expression for the value can be written as . The comes from multiplying it with , which is shown earlier on, . The comes from the constant of which we solve the value of and raise it to the n power. Continuing using, will now be solved for, using the expression. The same expression can be used for when , . The comes from multiplying it with as shown earlier, =. comes from the constant of we solve the value of and raise it to the power. Since and need to be different constants, the value of in this example will equal . Keeping in mind what and are, we can now find the expression for . By already having and solved for, the conclusion of , which is ). ...read more.

Conclusion

The outer portions of the matrices are the resulting dimensions when multiplied. For instances, you cannot multiply 2x1 � 2x3 since the inner numbers in bold do not match. The matrices used in all examples for finding general states have all been 2x2, which limits the general statements to only 2x2s. The general statements would not work for a 3x3 or any others besides a 2x2. The general statement is . One would get to this general statement algebraically when multiplying or exponentially. The 2 in the equation is twice as much as the square numbers and that is where the number 2 comes from in the general statement. Since 2 receives less than the power and this is where the section of arrives from in the equation . When , and are given earlier on in the paper from their expressions that were found by solving various problems. An example would be: This is the algebraic step and method for solving the general statement of ?? ?? ?? ?? Natalie Sullivan Candidate Number 000650-042 IB Mathematics SL Type 1 Matrix Binomials 1 | Page ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our International Baccalaureate Languages section.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related International Baccalaureate Languages essays

1. ## Parachute and Otherwise Poem Commentary

It also gives the parachute man a sign of relief and calmness from the thrilling experience when diving. In the second to last stanza the Earth itself is also personified in the poem, The Earth travels in orbit, it does not know where to go, which is similar to the

2. ## Part 2- Non-fiction work

Her body rejected the drugs, and she managed to return to psychology class the next morning without having told anyone. Her teaching in Arthur Street School became a failure when she extended her leave but she still continued with her psychology course. • Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to 