5. Evaluate the determinants (i) (begin{vmatrix}3 & -1 & -2 \ 0 & 0 & -1 \ 3
Month: April 2023
If (A=\begin{vmatrix}1 & 0 & 1 \ 0 & 1 & 2 \ 0 & 0 & 4 \end{vmatrix}), then show that |3A|=27|A|.
4. If (A=begin{vmatrix}1 & 0 & 1 \ 0 & 1 & 2 \ 0 & 0 &
If (A=\begin{bmatrix}1 & 2 \ 4 & 2\end{bmatrix}), then show that |2A|=4|A|.
3. If (A=begin{bmatrix}1 & 2 \ 4 & 2end{bmatrix}), then show that |2A|=4|A|. Determinants Exercise 4.1 Previous Next
Evaluate the determinants in Exercise 1 and 2. (\begin{vmatrix}cosθ & -sinθ \ sinθ & cosθ\end{vmatrix})Evaluate the determinants in Exercise 1 and 2.
2. (i) (begin{vmatrix}cosθ & -sinθ \ sinθ & cosθend{vmatrix}) (ii) (begin{vmatrix}x^2-x+1 & x-1 \ x+1 & x+1end{vmatrix}) Determinants
Evaluate the determinants in Exercise 1 and 2. (\begin{vmatrix}2 & 4 \ -5 & -1\end{vmatrix})
Evaluate the determinants in Exercise 1 and 2. 1. (begin{vmatrix}2 & 4 \ -5 & -1end{vmatrix}) Determinants Exercise
Find the zero of the polynomial in each of the following cases: (i) p(x)=x+5
4. Find the zero of the polynomial in each of the following cases: (i) p(x) = x +
Verify whether the following are zeroes of the polynomial, indicated against them. (i) (p(x)=3x+1), (x=-{1\over 3})
3. Verify whether the following are zeroes of the polynomial, indicated against them. (i) (p(x)=3x+1), (x=-{1over 3}) (ii)
Find p(0), p(1) and p(2) for each of the following polynomials: (i) (p(y)=y^2-y+1)
2. Find p(0), p(1) and p(2) for each of the following polynomials: (i) (p(y)=y^2-y+1) (ii) (p(t)=2+t+2t^2-t^3) (iii) (p(x)=x^3)
Find the value of the polynomial (5x-4x^2+3) at (i) x=0
1. Find the value of the polynomial (5x-4x^2+3) at (i) x=0 (ii) x=-1 (iii) x=2
Classify the following as linear, quadratic and cubic polynomials: (i) (x^2+x)
5. Classify the following as linear, quadratic and cubic polynomials: (i) (x^2+x) (ii) (x-x^3) (iii) (y+y^2+4) (iv) (1+x)