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lecture9hout - MATH 006 Calculus and Linear Algebra...

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Unformatted text preview: MATH 006 Calculus and Linear Algebra (Lecture 9) Albert Ku HKUST Mathematics Department Albert Ku (HKUST) MATH 006 1 / 12 Outline 1 Addition, Subtraction and Scalar Multiplication 2 Matrix Product Albert Ku (HKUST) MATH 006 2 / 12 Addition, Subtraction and Scalar Multiplication Addition, Subtraction and Scalar Multiplication Definition The addition/subtraction of two matrices of the same size is the matrix with elements that are the addition/subtraction of the corresponding elements of the two given matrices. That is to say, if A = ( a ij ) and B = ( b ij ), then A + B = ( a ij + b ij ) Definition The scalar multiplication of a matrix A by a real number k , denoted by kA , is a matrix formed by multiplying each element of A by k . That is to say, if A = ( a ij ) then kA = ( ka ij ) Albert Ku (HKUST) MATH 006 3 / 12 Addition, Subtraction and Scalar Multiplication Example Evaluate the following expressions: (a) 2- 3 1 2- 5 + 3 1 2- 2 4 0 = 5- 2 2- 1 6- 5 (b)- 4 - 2 3 1- 1 2- 2...
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lecture9hout - MATH 006 Calculus and Linear Algebra...

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