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What is 2 x 2 matrix multiplication?

One can consider multiplying a 2 x 2 matrix that has four elements, (a,b) in the top row and (c,d) in the bottom row, by another 2 x 2 matrix that has the elements (e,f) in the top row and (g,h) in the bottom row. By the rules of matrix multiplication, the resulting 2 x 2 matrix has the elements (ad + bf, ag + bh) in the top row and (ce + df, cg + dh) in the bottom row.

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What is a quadrangle with two pairs of parallel lines and all right angles called?

Quadrilaterals are geometric figures defined by the presence of exactly four sides joined by vertices that create four angles. The measurements of these four "interior angles" add up to a total of 360 degrees. Subgroups and variants include parallelograms, squares, rectangles, rhombus figures and more. These are generally divided according to differences in angle and length of side.

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What is a 4-sided polygon called?

Quadrilaterals are considered simple if no self-intersections occur, or complex if self-intersection does occur. Depending on the shape, simple quadrilaterals are termed either concave or convex. Simple quadrilaterals have interior angles whose sum equals 360 degrees of arc, while complex quadrilaterals have a total of 720 degrees of arc when all four angels on both sides of the intersection are combined.

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What are parent functions and transformations?

The function f(x) = x^2 is the parent quadratic function. Multiplying the function by -1 creates a reflection. The parent function is a parabola that opens upward with its origin at the point (0,0). The graph f(x)=-x^2 has the same origin and shape but opens downward.\nTranslations slide the function up, down, left or right. The function f(x) = x^2 + b moves the parabola up or down, while f(x) = (x + b)^2 moves it to the left or right. The value of b determines the direction of the move.\nMultiplication stretches or compresses the function. Functions go through both horizontal and vertical str..

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What does range mean in math?

There are many useful properties of sets of data that are used in basic mathematical analysis, including the range. Additionally, the mean, or average, of the data can be calculated by summing all the numbers and dividing by the amount of numbers in the data. Other common properties are the mode, which is the most common number in the data set, and median, which is the number that is in the middle of the set when ordered by number size.

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What is the square root of 64?

Every positive number has two square roots, one positive and one negative. However, each positive number has only one principal square root. When people use the phrase "the square root," they often mean "the principal square root." The principal square root is non-negative. Sixty-four is also a square number. This means that it is an integer that is a square of an integer, in this case, 8.

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What is a number to the negative 1 power?

The negative exponent rule says that when doing calculations with negative exponents, any negative exponents in the top half of a fraction get moved to the bottom half and become positive exponents. This works for any negative power, not only the power of one. For example, to calculate five to the negative two power, first move the expression to the denominator and make it positive. This gives one over five to the positive two power, which is equal to 1/25.\nThe reverse is also true. Negative exponents in the denominator of a fraction get moved up to the numerator and become positive exponents..

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What are the factors of 100?

In math, the term "factors" can sometimes refer to factor pairs, which are pairs of numbers that equal the original number when multiplied together. The factor pairs of 100 are 10 and 10, 1 and 100, 2 and 50, and 25 and 4.

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What are some examples of ratio word problems?

When solving ratio word problems, it is important to think of the ratio as a fraction, making sure to put the matching values in the numerator and denominator. Also, the units of measurement need to match in both ratios in order to solve the problem. The first step in solving a ratio word problem is to assign variables to the missing information and then to write the ratio in the form of a fraction with the variable standing in for any missing information. The next step is to set up an equation with the other known ratio in the form of a fraction and to solve for the variable by cross multiply..

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Where do you get a list of common vocabulary terms used in mathematics?

Spelling City's website offers a comprehensive vocabulary list based on the Common Core Math Standards. The lists are also organized by K12 Common Core math content categories such as geometry, measurement and data. Each grade-level category explains what is to be expected from a given math class, and reviews the concepts related to the vocabulary learned. The high school category, for example, explains the concepts of the Real Number System, quantities, the Complex Number System and vector and matrix quantities before breaking the ideas into sections and listing the vocabulary terms for ..

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