Chapter 3 Matrices
Top questions
See all →- Find X, if Y = \(\left[\begin{array}{ll} 3 & 2 \\ 1 & 4 \end{array}\right]\) and 2X + Y = 2X + Y = [beginarrayll 1 & 0 \\ -3 & 2 endarray] ∴ 2X = [beginarrayll 1 & 0 \\ -3 & 2 endarray] – Y = [beginarrayll 1 & 0 \\ -3 & 2 endarray... 1
- Solve the equation for x, y, z and t, if, 2\(\left[\begin{array}{ll} x & z \\ y & t \end{array}\right]\) 2 [beginarrayll x & z \\ y & t endarray] +3 [beginarrayll 1 & -1 \\ 0 & 2 endarray] = 3 [beginarrayll 3 & 5 \\ 4 & 6 endarray] or [beginarra... 1
- If x\(\left[\begin{array}{l} 2 \\ 3 \end{array}\right]\) + y\(\left[\begin{array}{l} -1 \\ 1 \end{array}\right]\) x [beginarrayl 2 \\ 3 endarray] + y [beginarrayl -1 \\ 1 endarray] = [beginarrayl 10 \\ 5 endarray] . or [beginarrayl 2x \\ 3x endarray] + [... 1
- The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books and 10 Let the number of books be represented by matrix A of order 1 x 3 as shown below : A = [10 dozen 8 dozen 10 dozen] = [120 96 120]. The cost... 1
- The restriction on n, k and p so that PY = WY will be defined are (A) k = 3, p = n (A) k = 3, p = n The order of matrix P is p x k and the order of matrix Y is 3 x k. PY is defined, when No. of columns in P = No. of rows in... 1
- If n = p, then the order of the matrix 7X – 5Z is (A) p x 2 (B) 2 x n (C) n x 3 (D) p x n (B) 2 x n The order of matrix X is 2 x n. The order of matrix Z is 2 x p. 7X – 5Z is defined when X and Z are of the same order. ⇒ n-p (give... 1