No. A scalar matrix is a diagonal matrix whose main diagonal elements are the same. Only if the diagonal elements are all 1 is it an identity matrix.
A matrix and a scalar is a matrix. S + M1 = M2. A scalar is a real number whose square is positive. A matrix is an array of numbers, some of which are scalars and others are vectors, square of the number is negative. A matrix can be a quaternion, the sum of a scalars and three vectors.
Multiply each element of the matrix by the scalar.
It is a scalar multiplier.
scalar multiplication
Vector matrix has both size and direction. There are different types of matrix namely the scalar matrix, the symmetric matrix, the square matrix and the column matrix.
No. A scalar matrix is a diagonal matrix whose main diagonal elements are the same. Only if the diagonal elements are all 1 is it an identity matrix.
A matrix and a scalar is a matrix. S + M1 = M2. A scalar is a real number whose square is positive. A matrix is an array of numbers, some of which are scalars and others are vectors, square of the number is negative. A matrix can be a quaternion, the sum of a scalars and three vectors.
Multiply each element of the matrix by the scalar.
It is a scalar multiplier.
In the same way!
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
Matrix arithmetic
No. A scalar matrix can not be a zero matrix Just a note on separate Qs & As here. I'd stumbled on this group because as I can't understand matrices, I wasn't looking deliberately, but it looks as if another questioner has also asked the same, albeit with the words reversed, and gained a "Yes" and explanation.
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.
scalar multiplication
A matrix IS an array so it is impossible to multiply a matrix without array. The answer to the multiplication of two matrices need not be an array. If the first matrix is a 1xn (row) matrix and the second is an nx1 (column) matrix, then their multiple is a 1x1 matrix which can be considered a scalar.