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Can a matrix with dimensions of 2 X 4 be added to another matrix that has dimensions of 2 X 4?
no
Can a matrix with dimensions of 2 X 4 be added to another matrix with dimensions of 2 X 4?
Yes.
What will be the dimensions of a new matrix formed by multiplying a 2 X 4 matrix and a 4 X 5 matrix?
It will be a 2 x 5 matrix.
How can you determine whether a matrix product AB is defined?
To determine whether the matrix product ( AB ) is defined, you need to check the dimensions of the matrices ( A ) and ( B ). Specifically, if matrix ( A ) has dimensions ( m \times n ) and matrix ( B ) has dimensions ( p \times q ), the product ( AB ) is defined if and only if the number of columns in ( A ) (i.e., ( n )) is equal to the number of rows in ( B ) (i.e., ( p )). If this condition is met, the resulting matrix ( AB ) will have dimensions ( m \times q ).
How is the order of a matrix found?
The order of a matrix is another way of saying the dimensions of of a matrix. For a two dimensional matrix, the order could be 2 by 2, or 3 by 3, or 32 by 64.
Can a matrix with dimensions of 2 X 4 be added to another matrix with dimensions of 2 X 5?
No. Matrix addition (or subtraction) is defined only for matrices of the same dimensions.
Can a matrix with dimensions of 4 X 5 be added to another matrix with dimensions of 5 X 3?
No. Matrix addition (or subtraction) is defined only for matrices of the same dimensions.
Can a matrix with dimensions of 2 X 4 be added to another matrix that has dimensions of 2 X 4?
no
Can a matrix with dimensions of 2 X 4 be added to another matrix with dimensions of 2 X 4?
Yes.
What will be the dimensions of the new matrix formed by multiplying a 3 X 4 matrix and a 4 X 1 matrix?
3x1 matrix
What will be the dimensions of the new matrix formed by multiplying a 2 by 4 matrix and a 4 by 5 matrix?
2 x 5 matrix
What are the dimensions of the matrix product?
2*2
Can a matrix with a dimensions of 2x4 be added to another matrix with dimensions of 2x4?
Yes. In general, two matrices of the same size can be added.
What will be the dimensions of a new matrix formed by multiplying a 2 X 4 matrix and a 4 X 5 matrix?
It will be a 2 x 5 matrix.
Can you add a 1x3 matrix to a 3x2 matrix?
No, you cannot add a 1x3 matrix to a 3x2 matrix because the two matrices have different dimensions. For matrix addition to be valid, both matrices must have the same dimensions. In this case, a 1x3 matrix has one row and three columns, while a 3x2 matrix has three rows and two columns, making them incompatible for addition.
Can a matrix of 4x5 be added with a matrix with dimensions of 5x3?
No. You can only add matrices of the same size.
What will be the dimensions of the new matrix formed by multiplying a 7 X 2 matrix and a 2 X 6 matrix?
7 x 6A+
