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Basically, you just multiply each entry in the matrix by a given number 4 1 3 5 -1-810-7-513 = 4 12 20 -4-3240-28-2052 In this case, there are 9 entries so your result is 9 corresponding entries which have been multiplied by 4.

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Q: What is scalar multiplication?
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Related questions

What is the difference between finding the dot product and using scalar multiplication?

They give us different results. The dot product produces a number, while the scalar multiplication produces a vector.


What is performing addition subtraction and scalar multiplication of matrices?

Matrix arithmetic


Why vector divided by scalar is equal to vector?

It helps to understand division as the opposite of multiplication. In this case, v / s = x; a vector divided by a scalar is something unknown. Turn this around, into a multiplication: x times s = v. In other words: What must I multiply by a scalar to get a vector?


An operation where you multiply each element of a matrix by a constant is called a what?

scalar multiplication


Can vector quantity be divided and multiplied?

Vector quantities can be added and subtracted using vector addition, but they cannot be divided like scalar quantities. However, vectors can be multiplied in two ways: by scalar multiplication, where a scalar quantity is multiplied by the vector to change its magnitude, or by vector multiplication, which includes dot product and cross product operations that result in a scalar or vector output.


Which method will give the same result if applied repeatedly for the same vectors added?

Scalar multiplication.


What is the difference between scalar multiplication and matrix multiplication?

Matrix multiplication is when you multiply the numbers inside different matricies.[topleft#1]Xtopleft#2=top left topright#1XBottomleft=top right bottom left X Topleft=top left bottom rightX bottom right=bottom right Scalar multiplication A number out side a matrix multiplies all parts of the matrix


Does maximizing the scalar multiplication in matrix chain multiplication exhibit optimal substructure?

I think so. Copy and paste method could be used to prove this. But this is only my opinion.


What is different between multiplication and division of vector by a number?

There is no real difference between the two operations. Division by a scalar (a number) is the same as multiplication by its reciprocal. Thus, division by 14 is the same as multiplication by (1/14).


What are all the symbols for multiplication?

There 3 to 4 symbols of multiplication depending on the condition.If you are using computer for calculation the only symbol of multiplication is *.If you are using calculator the symbol for multiplication is x.If you are solving equation in paper the symbol for multiplication b/w variables are mostly represent by a dot(.) or the place is left empty. A.B or AxB the answer will be same is scalar calculation but will be different on vector calculation. If use scalar calculation 'AB' will also represent multiplication b/w two variables. But it is only applicable on variables.If we use scalar number in equation like 3(4-3)*3=9; here '3(' is representing the multiplication b/w the number and the bracket. If there is any number before a bracket without any symbol then this will show that the number is multiplying by the bracket values.


Is power vector or scalar?

Power is the time derivative of energy, E. Energy can be scalar or vector. Thus power can be scalar or vector. Energy is a quaternion and consists of a scalar or real part Er and a vector part Ev. Energy E=Er + Ev, for example E= FR = -F.R + FxR = -FRCos(x) + FRsin(x). The real part is a scalar called "Energy" and the vector part is called "Torque" but has the same units Joules. Energy is defined by the units. P=dE/dt = d(Er + Ev)/dt = dEr/dt + dEv/dt = Pr + Pv. Power can be a scalar or a vector or both.


What are the vector and scalar fields?

In mathematics, a field is a set with certain operators (such as addition and multiplication) defined on it and where the members of the set have certain properties. In a vector field, each member of this set has a value AND a direction associated with it. In a scalar field, there is only vaue but no direction.