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Question Description

Matrices and Determinants

What is the minimum number of multiplications involved in computing the matrix product PQR? Matrix P has 4 rows and 2 columns, matrix Q has 2 rows and 4 columns, and matrix R has 4 rows and 1 column.

If number of rows in A matrix are equal to number of column in B matrix, then A and B are comfortable for

When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed

A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least

A gardener wants to plant trees in his garden in rows in such a way that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more

A gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more

Let A be an m * n matrix and B an n * m matrix. It is given that determinant (Im + AB) = determinant (In + BA) where Ik is the k * k identity matrix. Using the above property, the determinant of the m

Which of the following statements are TRUE? P. The eigenvalues of a symmetric matrix are real Q. The value of the determinant of an orthogonal matrix can only be +1 R. The transpose of a square mat

If A is a matrix of order(m - by - n) then a matrix(n - by - m) obtained by interchanging rows and columns of A is called the

If number of columns and rows are not equal in a matrix, then it is said to be a