If matirx A is called symmetric if AT=A. Verify for all 3×3 matirices B+BT is symmetric
1 answer:
Answer:
Step-by-step explanation:
Given that B is 3x3 matrix.
To prove that B+B^T is symmetry
We know B Transpose matrix will be the matrix got by interchanging the rows and columns of B.
When we interchange rows and columns, we find diagonals remain in the same position
In other words, if i =j
When we add B with B transpose we add diagonal elements twice
and other elements aij with aji for each of the other entry.
Diagonal elements will not pose a problem now when the sum matrix is transposed
B+BT will have ijth entry as =
i.e. the matrix have to be symmetrical
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<u>Answer:</u>
Liam will use 3.5 gallons of paint to paint his living room
<u>Solution:</u>
Given that Liam has gallons of paint.
He uses of paint to paint his living room
We need to find how many gallons of paint will Liam use
The gallons of paint Liam used can be found as follows:
Amount of paint Liam has = gallons
Converting mixed fraction to decimal we get 8.75
Amount of paint used = 2/5th of available amount
Hence Liam will use 3.5 gallons of paint to paint his living room