WorksheetsLinear Algebra
Total questions: 15
Worksheet time: 11mins
The greatest German mathematician of the 19th century who first used the term “determinant” in 180.
Carl Gauss
Augustin Cauchy
Arthur Cayley
Rene Descartes
It is a rectangular arrays of items.
(a)
By convention matrices are “sized” using the number of rows (m) by number of columns (n).
True
False
It is an mxn matrix where BOTH m and n = 1
(a)
It is a square (mxn) matrix with 1s on the diagonal and zeros everywhere else.
(a)
A square matrix where all the elements are zero except those on the main diagonal
(a)
Only matrices of the same size can be added.
True
False
The product of a scalar k and a matrix H, denoted by kH, is the matrix in which each element is obtained by multiplying k by the corresponding element of H
True
False
To multiply a scalar times a matrix, simply add each element of the matrix by the scalar quantity
True
False
Two matrices A and B must be conformable for multiplication to be possible i.e. the number of columns of A must equal the number of rows of B.
True
False
The following are properties of addition of matrix EXCEPT
Commutative Property
Associative Property
Additive Identity
Distributive Property
What is the size of the given matrix?
1 x 4
2 x 5
3 x 4
4 x 3
The picture shows what kind of matrix?
Square Matrix
Identity Matrix
Diagonal Matrix
Scalar Matrix
Perform the indicated operation for A + C.
The following matrices can be multiplied EXCEPT
