OCR GCE A LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 (Y541/01 Pure Core 2)
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OCR GCE A LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 (Y541/01 Pure Core 2). DOWNLOAD OFFICIAL AND VERIFIED OCR A LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 ON www.leakedexams.com.


1 (a) The matrix P is given by P
1
4
0
2
2
2
2
3 = -
-
J
L
K
K
N
P
O
O.
 (i) Write down the dimensions of P. [1]
 (ii) Write down the transpose of P. [1]
(b) The matrices Q, R and S are given by Q = ^1 2h, R
3
2
4
3 = - J
L
K
K
N
P
O
O and S = - ^3 2h.
 Write down the sum of the two of these matrices which are conformable for addition. [1]
(c) The dimensions of matrix A are 4 by 5. The matrices A and B are conformable for
multiplication so that the matrix C = BA can be formed. The matrix C has 6 rows.
 (i) Write down the number of columns that C has. [1]
 (ii) Write down the dimensions of B. [1]
 (iii) Explain whether the matrix AB can be formed. [1]
(d) Find the value of c for which 2 c c
6 10 10
5
13 10
5
13
2
6
3
10
- 3 = - J
L
K
K
J
L
K
K
J
L
K
K
J
L
K
K
N
P
O
O
N
P
O
O
N
P
O
O
N
P
O
O. [2]