math multiplication games

The same principle can be generalized to three or more events occurring in succession as follows: If n operations can be performed in m 1 ,m 2 ,m 3 ,...m n ways respectively, then all n operations in succession can be performed exactly in m 1 ,m 2 ,m 3 ,...m n ways. The above principle is called..

Matrix multiplication is not commutative in general. Matrix multiplication is associative i.e., (AB)C = A(BC), whenever both sides are defined. Matrix multiplication is distributive over matrix addition i.e., (i) A(B + C) = AB + BC (ii) (A + B)C = AB + AC wh..

Equality of Matrices, Addition of Matrices, Matrix Addition is commutative, Matrix addition is associative, Subtraction of Matrices, Multiplication of a matrix by a scalar, Multiplication of Matrices, Properties of Matrix Multiplication, Transpose of a Matrix, Pr..

Elementary transformations are of the following three types: Interchange of any two rows (or columns) The multiplication of the elements of a row (or column) by a non-zero number. The addition to the elements of any row (or column) the corresponding elements of any other row (or ..

If the rows and columns of a determinant are inter-changed, the value remains unaltered. If any two rows (columns) of a determinant are identical, its value of the determinant is zero. If any two rows (columns) of a determinant are interchanged, the value of the determinant is (-1) times th..

>If A, B and C are the matrices which can be multiplied then (a) Matrix multiplication is not commutative, i.e., AB BA (always) (b) Associative law holds good for matrix multiplication, i.e., (AB)C = A(BC) (c) Matrix multiplication is distributive with respect to addit..

The manager of a basketball team wanted to know whether there is any relationship between the age ( x 1 ) of the players, their heights ( x 2 ) and the average points per game ( y ) scored by them in the previous season before selectinfg the team for the next season. Find F test value and..

Which is an unfair game? => spinning a spinner with two unequal sections or spinning a spinner with equal sections or I don′t know. or Roll a dice. You win if you roll a 1 or 2. Your friend wins if he rolls a 1 or 2...

Which of the following games is fair? => Toss a coin thrice. You win if you get 3 heads and your friend wins if he gets at least one head or tail. or Roll a dice. You win if you roll a 1 or 2. Your friend wins if he rolls a 3 or 4. or I don′t know. or Put 5 red and 2 blue crayons in..

The same principle can be generalized to three or more events occurring in succession as follows: If n operations can be performed in m 1 ,m 2 ,m 3 ,...m n ways respectively, then all n operations in succession can be performed exactly in m 1 ,m 2 ,m 3 ,...m n ways. The above principle is called..