Q. 395.0( 1 Vote )

# If <img wid

We are given that,

We need to find the value of A + AT.

We know that the transpose of a matrix is a new matrix whose rows are the columns of the original.

We have,

Here,

1st row of A = (1 2)

2nd row of A = (3 4)

Transpose of this matrix A, AT will be given as

1st column of AT = 1st row of A = (1 2)

2nd column of AT = 2nd row of A = (3 4)

Then,

For addition of two matrices, say X and Y, where

Add the corresponding elements of matrices X and Y.

Similarly, we need to add these two matrices, A and AT.

Adding the corresponding elements of the matrices A and AT,

Thus, we get the matrix .

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