Updated On: 26-4-2021
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|00:00 - 00:59||let us question if a b and c are integers then number of mattresses a with a possible such that a into a transfer is equal to I let's move on to the solution to find the number of medicines at a possible we have to consider a different values for a b and c which can satisfy the equation a into a transpose equal to I with its identity Matrix the let's expand this equation by putting the mattress and multiplying it with a transfer we have a into a transpose equal to I this is a matrix|
|01:00 - 01:59||let take the transpose of a and multiply ABC will come here a b c b c a b c a n c a b c a b this is equal to identity matrix you can see that these two mattresses are exactly the same let X the First row of this Matrix and first column this Matrix to get the first element for this Matrix so this will be a square + b square + c square equal to 1 knowledge multiply the first and second column this Matrix to get the second element of this Matrix|
|02:00 - 02:59||will be a b + BC + CA equal to zero now we will find the values of A B and C which will satisfy these two equations showcase when will be case 1 when a is equal to plus minus 1 b is equal to zero and C is equal to zero this is the first case case number 2 it will be in a Zero B is plus minus 1 equal to plus minus 1 in C is equal to zero Krrish 3 will be is equal to zero b is equal to zero and C is equal to plus minus 1 only|
|03:00 - 03:59||these are the possible combinations which will satisfy both of these equations so we can form to mattresses for this case into mattresses for this case and 2 mattresses for case number 3 total number mattresses will be equal to 2 + 2 + 2 that is 6 so the total number of mattresses are 6 thank you|
Definitions; matrix representation; rows; column or general element
Row matrix and column matrix
Square matrix and diagonal matrix
Scalar matrix and identity matrix
Null matrix upper triangular matrix and lower triangular matrix
skew symmetric matrix
Let `A` and `B` be symmetric matrices of same order. Then `A+B` is a symmetric matrix, `AB-BA` is a skew symmetric matrix and `AB+BA` is a symmetric matrix
Every matrix can be represented as a sum of symmetric and skew symmetric matrices
Singular matrix and Non-Singular Matrix
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