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Yes.
Let M be an arbitrary square matrix and Z be a zero matrix of the same dimension.
Then Z*M = Z = 0*M = 0 => Z = 0.
Z is a scalar matrix with lamda = 0.
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 had already attracted the answer "No" to the same question, albeit with the words reversed.
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Is null matrix a scalar matrix?
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.
Is the scalar matrix is always a identity 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.
What is a matrix and a scalar?
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.
What are the Idiosyncrasies of matrix algebra?
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.
How do you multiply a matrix by a scale?
Multiply each element of the matrix by the scalar.
What is a zero matrix?
A zero matrix is a matrix in which all of the entries are zero.
What is A constant by which a matrix is multiplied?
It is a scalar multiplier.
How matrix are different from scalar?
A scalar is any single number, like 27, while a matrix contains at least 2 numbers such as [27, 3].
What is the definition of zero matrix?
Zero Matrix When all elements of a matrix are zero than the matrix is called zero matrix. Example: A=|0 0 0|
What type of matrix is a vector?
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.
Is there any matrix called as zero matrix?
ya yes its there a matrix called zero matrix
Can Scalar quantity be Negative Or Zero?
No, scalar quantities cannot be negative because they only have magnitude, not direction. However, scalar quantities can be zero if the magnitude of the quantity is zero.
