## Matrix Operations | Algebra | Chegg Tutors

Basic operations on matrices:

To add or subtract matrices they must have the same number of rows and columns.

Addition: M = A + B; zij = aij + bij (to form a new matrix z, to element in row i, column j of matrix A add element in row i, column j of matrix B)

Subtraction: M = A – B; zij = aij – bij (to element in row i, column j of matrix A deduct element in row i, column j of matrix B)

Multiplication/Division by a scalar: zij = c*aij; m = zij = 1/c*aij = aij/c where c is the constant (scalar)

Multiplication: M = A*B, if the number of columns in A = number of rows in B; zij = ai1*b1j + ai2*b2j + ….aim*bnj (add the products obtained by multiplying elements in each i row of matrix A by elements in each j column of matrix i)

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About Chris W., Algebra tutor on Chegg Tutors:

University of Pennsylvania, Class of 2007

Math, Computer Science major

Subjects tutored: LaTeX, ACT (math), SAT (math), SSAT (math), Information Technology, Discrete Math, SAT II Mathematics Level 2, Basic Math, Web Design, Numerical Analysis, Geometry, Pre-Calculus, SAT II Mathematics Level 1, GRE, Pre-Algebra, Software Engineering, Set Theory, Applied Mathematics, Computer Certification and Training, Number Theory, Statistics, Linear Algebra, PSAT (math), Linear Programming, Computer Science, Calculus, Trigonometry, Algebra, and Geometry (College Advanced)

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Over 7 years of experience teaching math at 3 universities and a community college. Courses ranged from Intermediate Algebra to Calculus II and class sizes varied from 2 to over 200 students. Tutoring since 2000 formally and informally, individually and in groups, for courses from Geometry to Differential Equations. Please note that I generally will not be available for audio and video in live lessons but my experience has been that audio and video aren’t really needed.

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