scalar properties


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Properties of Transpose
(A T ) T = A (A + B) T = A T + B T , A and B being of the same order. (KA) T = KA T , k be any scalar (real or complex) (AB) T = B T A T ; A and B being conformable for the product A..
Basic Properties of Electric Charges
If a system consists of two point charges q 1 and q 2 , then the total charge of the system is got by adding q 1 and q 2 . Thus, the charge add up like real numbers (scalars). When we add charges, one should take care of its sig..
Some properties of Multiplication of Matrices
(1) A x I = I x A = A where I denotes a unit matrix of suitable order. Matrix I possesses identity property of multiplication, I is called a unit matrix or identity matrix. (2) , it does not have commutative property. (3) A(B + C) = AB + AC (Distributive property) ..
Operations on Matrices
Equality of Matrices, Addition of Matrices, Matrix Addition is commutative, Matrix addition is associative, Subtraction of Matrices, Multiplication of a matrix by a scalar, Multiplication of Matrices, Properties of Matrix Multiplication, Transpose of a Matrix, Propert..
Momentum
Consider a car and a bicycle moving at the same velocity. Now, if you could somehow use the same brake system on both vehicles, the bicycle will stop first. Why do think so? Is it because the bicycle is lighter? Yes, it is because the bicycle is lighter. This makes us think of a new property..
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