idiosyncrasies of matrix are the differences between matrix algebra and scalar one. i'll give a few examples.
1- in algebra AB=BA which sometimes doesn't hold in calculation of matrix.
2- if AB=0, scalar algebra says, either A, B or both A and B are equal to zero. this also doesn't hold in matrix algebra sometimes.
3- CD=CE taking that c isn't equal to 0, then D and # must be equal in scalar algebra. Matrix again tend to deviate from this identity.
its to be noted that these deviations from scalar algebra arise due to calculations involving singular matrices.
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A matrix is a rectangular array of elements - usually numbers. These, together with rules governing their addition and multiplication make up matrix algebra or system.
Many problems in economics can be modelled by a system of linear equations: equalities r inequalities. Such systems are best solved using matrix algebra.
Advanced algebra or College Algebra is the Algebra that comes after Algebra 2. Its essentially algebra II but digs deeper in each section. If I remember correctly, I had to graph almost everything and or find its domain and range. Advanced Algebra deals with polynomial functions and their graph, geometric and arithmetic sequences, conics, logarithms, systems of three equations, an introduction to matrix algebra, exponential functions, and the binomial theorem. Advanced Algebra should not be confused with Algebra I(beginning algebra) or Algebra II(intermediate Algebra).
Since "pre-" means before, then pre-algebra would be before algebra. Conversely, algebra would be after pre-algebra. Generally, the next class after a pre-algebra class would be Algebra I, followed by Algebra II.
Pre-algebra preps you for algebra.2nd answer:Pre-AP-algebra is the same as Algebra I. Both are way harder than pre- algebra.