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the transpose of null space of A is equal to orthogonal complement of A

Q: How do you check orthogonality of a matrix using arrays?

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int sym_test(const **a,int n){ int i,j,sym; i=1;j=0;sym=1; while(sym && i<n){ if ( a[i][j] != -[j][i] ) sym=0; else if (j<i-1) ++j; else ++i,y=0; } return sym; }

7x9

Multiply it by the identity matrix.

They both cannot be

If the product of two matrices is an identity matrix then, one matrix is inverse of the other. i.e. AB = I then, A = B-1 and B = A-1Inverse of matrix can be found by using these two results:A = AI and A = IA.By using these results inverse of a matrix can be found by applying same elementary row or column operation on both sides. A on R.H.S. remains as it is.

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A fast-transpose is a computer algorithm that quickly transposes a sparse matrix using a relatively small amount of memory. Using arrays normally to record a sparse matrix uses up a lot of memory since many of the matrix's values are zero. In addition, using the normal transpose algorithm to transpose this matrix will take O(cols*elements) amount of time. The fast-transpose algorithm only uses a little memory to record the matrix and takes only O(cols+elements) amount of time, which is efficient considering the number of elements equals cols*rows.

7x9 is the multiplication fact that can be found using the arrays 2x9 and 5x9.

By using the library function #define A[] we can define the size of arrays

The purpose of using arrays in C is to store multiple values in one variable. Then you can make programs that use arrays like lists, printing values from multiple arrays into one line. It take memory in continues block then we can know memory location easily. We can retrieve data quickly.

leakage in arrays occur when you declare an array with big size and using only very few bytes.

int sym_test(const **a,int n){ int i,j,sym; i=1;j=0;sym=1; while(sym && i<n){ if ( a[i][j] != -[j][i] ) sym=0; else if (j<i-1) ++j; else ++i,y=0; } return sym; }

abdulrahman

9

You have misread or misunderstood something.

7x9