If $A = \begin{bmatrix} 1 \ \ 4 \\ 2 \ \ 3 \end{bmatrix}$ , Find $A^2 - 4A - 5I?$

The eigen values of a skew symmetric matrix are

The system of the linear equations is consistent if coefficient and the augmented matrix have

The rank of A = $A=\begin{bmatrix}0 \ \ \ \ 1 \ \ \ \ \ -3 \ \ \ \ \ \ -1\\ \ \ \ \ \\ \ 1 \ \ \ \ \ \ 0 \ \ \ \ \ \ \ \ 1 \ \ \ \ \ \ \ \ \ 1 \\ \\ \ \ \ 3 \ \ \ \ \ \ \ \ 1 \ \ \ \ \ \ \ \ 0 \ \ \ \ \ \ \ \ 2 \\\\ 1 \ \ \ \ 1 \ \ \ \ \ -2 \ \ \ \ \ \ \ \ \ 0 \end{bmatrix}$ is

24 സെ.മി ഉയരവും 6 സെ.മി ബേസ് റേഡിയസുമുള്ള ഒരു കോൺ ഉരുക്കി ഒരു ഗോളത്തിന്ടെ രൂപത്തിൽ പുനർ രൂപകൽപന ചെയ്തിരിക്കുന്നു. എങ്കിൽ ആ ഗോളത്തിന്ടെ ആരം എത്രയാണ് ?

If A is an orthogonal matrix, then the |A| is

108 കി.മി./മണിക്കൂർ വേഗത ______________ നു സമാനമാണ്

If A is a symmetric matrix, then adj A is

If A is a n-square matrix, then.

യഥാക്രമം 10, 15, 24 മിനിറ്റ് ഇടവേളകളിൽ മൂന്നു മണികൾ മുഴങ്ങുന്നു. രാവിലെ 8 മണിക്ക് മൂന്നു മണികളും ഒരുമിച്ച് മുഴങ്ങാൻ തുടങ്ങും . അവ രണ്ടും ഒരുമിച്ച് മുഴങ്ങുന്നത് എത്ര മണിക്കാണ് ?

Find the reminder when $3^{101}$ is divided by 7?

reproductive property ഇല്ലാത്ത distribution താഴെ പറയുന്നവയിൽ ഏതാണ്

Among how many people may 429 kg of rice and also 715 kg of wheat be equally divided?

The students in a class can be divided into groups of 2, 3, 5 and 6. What is the least number of children this class can have?

Find the volume of a cube whose surface area is 96 cm³.

The dimensions of a cuboid are in the ratio 1:2:3 and its total surface area is 88m². Find the dimensions?

Let $x^2+y^2-2a (x+y)+a^2=0$ be an equation of a circle. Then

There are three cycles to distributed among five children. If no child gets more than one cycle, then this can be done in how many ways?

If the sum of the roots of $(p + 1) \times x ^ 2 + (2p + 3)x + (3p + 4) = 0$ is -1 , then the product of the roots is

The roots of the equation $2 (a ^ 2 + b ^ 2) \times x ^ 2 + 2(a + b) \times x + 1 = 0$ are

Let f be a function from Z to Z. such that f(x) = x + 3 Find the inverse of f?

Let fand g be the functions from R to R such that $f(x)=2x$ and $g(x) = x ^ 2$ What is fg ?

The relation "division" on the set of positive integers is

How many reflexive relations there in a set of n + 1 elements?

The primary goal of the action plan phase in Action Research is

Which among the following is the exact situation where the maxim 'Simple to Complex is implied?

Which statement is NOT TRUE as per Piaget?

Which among the following typically demands 'predictive validity?"

Which level of thinking is aligned with 'the expectation for a student to articulate the underlying concept and process in mathematical induction"?

Sugar solution in jar A contain 20% sugar in it and jar B contain 30% . It is taken 4 liter and 6 liter respectively and mixed to get what % of sugar solution ?

A man purchases 4 shirt of each 2000 one is sold at again of 10% what is the gain % of remaining 3 shirts to get an overall profit of 25% ?

A man purchases 3 watches at 2000 each . One at a gain of 10% and what is the gain % of remaining to watches to get 30% gain at all ?

Two trains in opposite direction take 20 sec and 30 sec to pass an electric post if both of the train take 23 sec to pass one another what is the ratio of speed of train ?

A mans expenditure and savings are in the ratio of 3:2 his income is increased by 10% expense increased by 12% then the savings increased by what %?

weight of ram and syam are in the ratio of 7:5 rams weight is increased by 12% and total weight of ram and syam together increased by 17% then the total weight become 200kg weight of syam increased by what % ?

weight of ram and syam are in the ratio of 4:5 rams weight is increased by 10% and total weight of ram and syam together increased by 15% then the total weight become 207kg weight of syam increased by ____%

A man invested Rs 2000 in a bank with si of 15% per annum . Another amount at 20% per annum . Total si for the whole sum after 5 years is 18% per annum find the total amount of investment ?

A man invested Rs 6000 in a bank with si of 20% per annum . Another amount at 10% per annum . Total si for the whole sum after 4 years is 16% per annum find the total amount of investment ?

In a company the average salary of male workers is 4500 and the average salary of female workers is 3500 if the average salary of workers is 3700 what is the number of female workers are their if the number of men are 20 ?

In a school average age of hs students is 14 yrs and average age of up students is 7 yrs . Average age of the all students is 11 then find a)Ratio of the number of students b)Difference between the hs and up students are what % of the total number of students?

The average weight of 5 men is decreased by 3 kg when one of them weights 150 kg replaced by another person. This new person is again replaced by anther person whose weight is 30 kg lower than the person he replaced . What is the overall change in he average dueto this dual change?

The average weight of 11 person among 12 person is 95kg . The weight of the 12 th person is 33 more that the average of all 12 , find the weight of the 12th person ?

The arithmetic means of score of a group of students in a test was 52 The brightest 20% secure 80 as mean and the dullest 25% secure mean of 31 . The mean score of remaining 55%?

The average weight of three men A,B and C is 84 Kg. Another man D joins the group and the average now becomes 80 kg. if another man E whose weight 3 kg more than D replaces A then the average of B C D and E become 79 kg . What is the weight of A ?

The average age of 5 boys is 16 yr, of which that 4 boys is 16 yr 3 months the age of the 5th boy is ?

The average of ten number is 7. if every number is multiplied with 12 then the average will be ?

The average of 9 nos is 50 . The average of first 5 no is 54 and that of the last 3 no is 52 then the sixth no is ?

Out of 7 numbers the average of first 4 is 4 and the last 4 is also 4 and the average of all 7 is 3 find the 4th number ?

There are 30 boys and 60 girls in a class . If the average age oF boys is 12 yrs and the average of girls are 10 find the average of the whole class ?

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