QuestionWhat is a matrix with 1s on the diagonal and 0s elsewhere called: bivariate, rotation, unity, or identity matrix?
Studdy Solution
STEP 1
Assumptions1. We are asked to identify the type of matrix with elements of1 on the diagonal from the upper left to the lower right and0 everywhere else.
STEP 2
We need to understand the definition of each type of matrix given in the options.
A bivariate matrix is a matrix that involves or depends on two variables. It doesn't necessarily have1s on the diagonal and0s everywhere else.
A rotation matrix is a matrix that is used to perform a rotation in Euclidean space. It doesn't necessarily have1s on the diagonal and0s everywhere else.
A unity matrix is not a standard term in linear algebra. It might be a confusion with the unit matrix, which is another name for the identity matrix.
An identity matrix is a square matrix in which all the elements of the principal (main) diagonal are ones and all other elements are zeros.
STEP 3
Based on the definitions of the types of matrices, we can see that the matrix with elements of1 on the diagonal from the upper left to the lower right and0 everywhere else matches the definition of an identity matrix.
So, the answer is identity matrix.
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