Matrices Class 12 Assignments
Class 12 Matrices Assignments Matrices Assignments Answer key for Matrices Assignment 01 (CM23M120301)
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Matrices Class 12 Mcq Test (120301)
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Matrices A and B will be inverse of each other only if (A) AB=BA
1. Matrices A and B will be inverse of each other only if (A) AB=BA (B) AB=BA=0 (C) AB=0, BA=I (D) AB=BA=I. Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is…
If A is square matrix such that (A^2=A), then ((I+A)^3–7A) is equal to (A) A
11. If A is square matrix such that (A^2=A), then ((I+A)^3–7A) is equal to(A) A(B) I–A(C) I(D) 3A Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew symmetric…
If the matrix A is both symmetric and skew symmetric, then (A) A is a diagonal matrix
10. If the matrix A is both symmetric and skew symmetric, then (A) A is a diagonal matrix(B) A is a zero matrix(C) A is a square matrix(D) None of these Previous Next Class 12 Matrices Miscellaneous Exercise 1. If…
If \(A=\begin{bmatrix}α&β \\ γ &-α\end{bmatrix}\) is such that \(A^2=I\), then
9. If (A=begin{bmatrix}α&β \ γ &-αend{bmatrix}) is such that (A^2=I), then (A) (1+α^2+βγ=0)(B) (1-α^2+βγ=0)(C) (1-α^2-βγ=0)(D) (1+α^2-βγ=0). Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew symmetric matrix. 2.…
Find the matrix X so that (X\begin{bmatrix}1&2&3 \ 4&5&6
8. Find the matrix X so that (Xbegin{bmatrix}1&2&3 \ 4&5&6 end{bmatrix}=)(begin{bmatrix}-7&-8&-9 \ 2&4&6 end{bmatrix}). Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew symmetric matrix. 2. Show that…
A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below:
7. A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below: Market Products I 10,000 2,000 18,000 II 6,000 20,000 8,000 (a) If unit sale prices of x, y and z…
Find x, if (A=\begin{bmatrix}x&-5&-1\end{bmatrix}) (\begin{bmatrix}1&0&2 \0&2&1\2&0&3
6. Find x, if (A=begin{bmatrix}x&-5&-1end{bmatrix}) (begin{bmatrix}1&0&2 \0&2&1\2&0&3 end{bmatrix})(begin{bmatrix}x\4\1 end{bmatrix}=O). Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew symmetric matrix. 2. Show that the matrix B’AB is symmetric…
If (A=\begin{bmatrix}3&1 \ -1&2\end{bmatrix}), show that (A^2-5A+7I=0).
5. If (A=begin{bmatrix}3&1 \ -1&2end{bmatrix}), show that (A^2-5A+7I=0). Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew symmetric matrix. 2. Show that the matrix B’AB is symmetric or…
